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Finding the Fourth Proportional to 1,771.35, 2,654.60 and 1,154.13

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Solution

The fourth proportional to 1,771.35, 2,654.60 and 1,154.13 is: 1,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.35 : 2,654.60 = 1,154.13 : x
  2. Step 2: Convert to fraction form
    1,771.35/2,654.60 = 1,154.13/x
  3. Step 3: Cross multiply
    1,771.35x = 2,654.60 × 1,154.13
  4. Step 4: Simplify right side
    1,771.35x = 3,063,747.73
  5. Step 5: Solve for x
    x = 3,063,747.73/1,771.35
  6. Step 6: Final answer
    x = 1,729.61

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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.