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Finding the Fourth Proportional to 1,486.32, 2,229.48 and 966.75

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Solution

The fourth proportional to 1,486.32, 2,229.48 and 966.75 is: 1,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.32 : 2,229.48 = 966.75 : x
  2. Step 2: Convert to fraction form
    1,486.32/2,229.48 = 966.75/x
  3. Step 3: Cross multiply
    1,486.32x = 2,229.48 × 966.75
  4. Step 4: Simplify right side
    1,486.32x = 2,155,349.79
  5. Step 5: Solve for x
    x = 2,155,349.79/1,486.32
  6. Step 6: Final answer
    x = 1,450.13

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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.