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Finding the Fourth Proportional to 3,108.74, 4,663.85 and 917.39

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Solution

The fourth proportional to 3,108.74, 4,663.85 and 917.39 is: 1,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.74 : 4,663.85 = 917.39 : x
  2. Step 2: Convert to fraction form
    3,108.74/4,663.85 = 917.39/x
  3. Step 3: Cross multiply
    3,108.74x = 4,663.85 × 917.39
  4. Step 4: Simplify right side
    3,108.74x = 4,278,576.42
  5. Step 5: Solve for x
    x = 4,278,576.42/3,108.74
  6. Step 6: Final answer
    x = 1,376.31

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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.