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Finding the Fourth Proportional to 2,092.47, 3,139.16 and 631.77

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Solution

The fourth proportional to 2,092.47, 3,139.16 and 631.77 is: 947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.47 : 3,139.16 = 631.77 : x
  2. Step 2: Convert to fraction form
    2,092.47/3,139.16 = 631.77/x
  3. Step 3: Cross multiply
    2,092.47x = 3,139.16 × 631.77
  4. Step 4: Simplify right side
    2,092.47x = 1,983,223.95
  5. Step 5: Solve for x
    x = 1,983,223.95/2,092.47
  6. Step 6: Final answer
    x = 947.79

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