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Finding the Fourth Proportional to 1,232.14, 1,847.89 and 366.25

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Solution

The fourth proportional to 1,232.14, 1,847.89 and 366.25 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.14 : 1,847.89 = 366.25 : x
  2. Step 2: Convert to fraction form
    1,232.14/1,847.89 = 366.25/x
  3. Step 3: Cross multiply
    1,232.14x = 1,847.89 × 366.25
  4. Step 4: Simplify right side
    1,232.14x = 676,789.71
  5. Step 5: Solve for x
    x = 676,789.71/1,232.14
  6. Step 6: Final answer
    x = 549.28

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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.