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Finding the Fourth Proportional to 1,494.95, 2,062.71 and 865.24

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Solution

The fourth proportional to 1,494.95, 2,062.71 and 865.24 is: 1,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.95 : 2,062.71 = 865.24 : x
  2. Step 2: Convert to fraction form
    1,494.95/2,062.71 = 865.24/x
  3. Step 3: Cross multiply
    1,494.95x = 2,062.71 × 865.24
  4. Step 4: Simplify right side
    1,494.95x = 1,784,734.04
  5. Step 5: Solve for x
    x = 1,784,734.04/1,494.95
  6. Step 6: Final answer
    x = 1,193.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.