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Finding the Fourth Proportional to 2,644.52, 3,966.76 and 1,105.52

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Solution

The fourth proportional to 2,644.52, 3,966.76 and 1,105.52 is: 1,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.52 : 3,966.76 = 1,105.52 : x
  2. Step 2: Convert to fraction form
    2,644.52/3,966.76 = 1,105.52/x
  3. Step 3: Cross multiply
    2,644.52x = 3,966.76 × 1,105.52
  4. Step 4: Simplify right side
    2,644.52x = 4,385,332.52
  5. Step 5: Solve for x
    x = 4,385,332.52/2,644.52
  6. Step 6: Final answer
    x = 1,658.27

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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.