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Finding the Fourth Proportional to 3,497.55, 4,826.05 and 2,005.19

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Solution

The fourth proportional to 3,497.55, 4,826.05 and 2,005.19 is: 2,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.55 : 4,826.05 = 2,005.19 : x
  2. Step 2: Convert to fraction form
    3,497.55/4,826.05 = 2,005.19/x
  3. Step 3: Cross multiply
    3,497.55x = 4,826.05 × 2,005.19
  4. Step 4: Simplify right side
    3,497.55x = 9,677,147.20
  5. Step 5: Solve for x
    x = 9,677,147.20/3,497.55
  6. Step 6: Final answer
    x = 2,766.84

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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.