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Finding the Fourth Proportional to 1,472.39, 2,210.52 and 987.61

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Solution

The fourth proportional to 1,472.39, 2,210.52 and 987.61 is: 1,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.39 : 2,210.52 = 987.61 : x
  2. Step 2: Convert to fraction form
    1,472.39/2,210.52 = 987.61/x
  3. Step 3: Cross multiply
    1,472.39x = 2,210.52 × 987.61
  4. Step 4: Simplify right side
    1,472.39x = 2,183,131.66
  5. Step 5: Solve for x
    x = 2,183,131.66/1,472.39
  6. Step 6: Final answer
    x = 1,482.71

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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.