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Finding the Fourth Proportional to 1,629.69, 2,248.22 and 966.16

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Solution

The fourth proportional to 1,629.69, 2,248.22 and 966.16 is: 1,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.69 : 2,248.22 = 966.16 : x
  2. Step 2: Convert to fraction form
    1,629.69/2,248.22 = 966.16/x
  3. Step 3: Cross multiply
    1,629.69x = 2,248.22 × 966.16
  4. Step 4: Simplify right side
    1,629.69x = 2,172,145.46
  5. Step 5: Solve for x
    x = 2,172,145.46/1,629.69
  6. Step 6: Final answer
    x = 1,332.86

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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.