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Finding the Fourth Proportional to 1,565.82, 2,348.87 and 641.43

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Solution

The fourth proportional to 1,565.82, 2,348.87 and 641.43 is: 962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.82 : 2,348.87 = 641.43 : x
  2. Step 2: Convert to fraction form
    1,565.82/2,348.87 = 641.43/x
  3. Step 3: Cross multiply
    1,565.82x = 2,348.87 × 641.43
  4. Step 4: Simplify right side
    1,565.82x = 1,506,632.48
  5. Step 5: Solve for x
    x = 1,506,632.48/1,565.82
  6. Step 6: Final answer
    x = 962.20

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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.