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Finding the Fourth Proportional to 3,407.98, 4,703.24 and 2,567.20

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Solution

The fourth proportional to 3,407.98, 4,703.24 and 2,567.20 is: 3,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.98 : 4,703.24 = 2,567.20 : x
  2. Step 2: Convert to fraction form
    3,407.98/4,703.24 = 2,567.20/x
  3. Step 3: Cross multiply
    3,407.98x = 4,703.24 × 2,567.20
  4. Step 4: Simplify right side
    3,407.98x = 12,074,121.38
  5. Step 5: Solve for x
    x = 12,074,121.38/3,407.98
  6. Step 6: Final answer
    x = 3,542.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.