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Finding the Fourth Proportional to 1,446.16, 2,167.71 and 752.13

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Solution

The fourth proportional to 1,446.16, 2,167.71 and 752.13 is: 1,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.16 : 2,167.71 = 752.13 : x
  2. Step 2: Convert to fraction form
    1,446.16/2,167.71 = 752.13/x
  3. Step 3: Cross multiply
    1,446.16x = 2,167.71 × 752.13
  4. Step 4: Simplify right side
    1,446.16x = 1,630,399.72
  5. Step 5: Solve for x
    x = 1,630,399.72/1,446.16
  6. Step 6: Final answer
    x = 1,127.40

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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.