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Finding the Fourth Proportional to 3,414.78, 5,125.68 and 1,770.89

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Solution

The fourth proportional to 3,414.78, 5,125.68 and 1,770.89 is: 2,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.78 : 5,125.68 = 1,770.89 : x
  2. Step 2: Convert to fraction form
    3,414.78/5,125.68 = 1,770.89/x
  3. Step 3: Cross multiply
    3,414.78x = 5,125.68 × 1,770.89
  4. Step 4: Simplify right side
    3,414.78x = 9,076,989.83
  5. Step 5: Solve for x
    x = 9,076,989.83/3,414.78
  6. Step 6: Final answer
    x = 2,658.15

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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.