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Finding the Fourth Proportional to 3,134.66, 4,325.82 and 1,737.42

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Solution

The fourth proportional to 3,134.66, 4,325.82 and 1,737.42 is: 2,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.66 : 4,325.82 = 1,737.42 : x
  2. Step 2: Convert to fraction form
    3,134.66/4,325.82 = 1,737.42/x
  3. Step 3: Cross multiply
    3,134.66x = 4,325.82 × 1,737.42
  4. Step 4: Simplify right side
    3,134.66x = 7,515,766.18
  5. Step 5: Solve for x
    x = 7,515,766.18/3,134.66
  6. Step 6: Final answer
    x = 2,397.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.