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Finding the Fourth Proportional to 2,092.52, 3,139.14 and 706.02

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Solution

The fourth proportional to 2,092.52, 3,139.14 and 706.02 is: 1,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.52 : 3,139.14 = 706.02 : x
  2. Step 2: Convert to fraction form
    2,092.52/3,139.14 = 706.02/x
  3. Step 3: Cross multiply
    2,092.52x = 3,139.14 × 706.02
  4. Step 4: Simplify right side
    2,092.52x = 2,216,295.62
  5. Step 5: Solve for x
    x = 2,216,295.62/2,092.52
  6. Step 6: Final answer
    x = 1,059.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.