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Finding the Fourth Proportional to 1,641.16, 2,265.54 and 1,267.24

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Solution

The fourth proportional to 1,641.16, 2,265.54 and 1,267.24 is: 1,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.16 : 2,265.54 = 1,267.24 : x
  2. Step 2: Convert to fraction form
    1,641.16/2,265.54 = 1,267.24/x
  3. Step 3: Cross multiply
    1,641.16x = 2,265.54 × 1,267.24
  4. Step 4: Simplify right side
    1,641.16x = 2,870,982.91
  5. Step 5: Solve for x
    x = 2,870,982.91/1,641.16
  6. Step 6: Final answer
    x = 1,749.36

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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.