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Finding the Fourth Proportional to 2,468.70, 3,407.12 and 1,420.76

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Solution

The fourth proportional to 2,468.70, 3,407.12 and 1,420.76 is: 1,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.70 : 3,407.12 = 1,420.76 : x
  2. Step 2: Convert to fraction form
    2,468.70/3,407.12 = 1,420.76/x
  3. Step 3: Cross multiply
    2,468.70x = 3,407.12 × 1,420.76
  4. Step 4: Simplify right side
    2,468.70x = 4,840,699.81
  5. Step 5: Solve for x
    x = 4,840,699.81/2,468.70
  6. Step 6: Final answer
    x = 1,960.83

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Half 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.