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Finding the Fourth Proportional to 3,414.86, 5,123.90 and 1,770.52

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Solution

The fourth proportional to 3,414.86, 5,123.90 and 1,770.52 is: 2,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.86 : 5,123.90 = 1,770.52 : x
  2. Step 2: Convert to fraction form
    3,414.86/5,123.90 = 1,770.52/x
  3. Step 3: Cross multiply
    3,414.86x = 5,123.90 × 1,770.52
  4. Step 4: Simplify right side
    3,414.86x = 9,071,967.43
  5. Step 5: Solve for x
    x = 9,071,967.43/3,414.86
  6. Step 6: Final answer
    x = 2,656.61

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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.