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Finding the Fourth Proportional to 2,702.48, 3,734.22 and 2,593.12

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Solution

The fourth proportional to 2,702.48, 3,734.22 and 2,593.12 is: 3,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.48 : 3,734.22 = 2,593.12 : x
  2. Step 2: Convert to fraction form
    2,702.48/3,734.22 = 2,593.12/x
  3. Step 3: Cross multiply
    2,702.48x = 3,734.22 × 2,593.12
  4. Step 4: Simplify right side
    2,702.48x = 9,683,280.57
  5. Step 5: Solve for x
    x = 9,683,280.57/2,702.48
  6. Step 6: Final answer
    x = 3,583.11

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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.