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Finding the Fourth Proportional to 3,108.54, 4,663.50 and 917.43

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Solution

The fourth proportional to 3,108.54, 4,663.50 and 917.43 is: 1,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.54 : 4,663.50 = 917.43 : x
  2. Step 2: Convert to fraction form
    3,108.54/4,663.50 = 917.43/x
  3. Step 3: Cross multiply
    3,108.54x = 4,663.50 × 917.43
  4. Step 4: Simplify right side
    3,108.54x = 4,278,434.81
  5. Step 5: Solve for x
    x = 4,278,434.81/3,108.54
  6. Step 6: Final answer
    x = 1,376.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.