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Finding the Fourth Proportional to 2,377.92, 3,567.05 and 734.25

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Solution

The fourth proportional to 2,377.92, 3,567.05 and 734.25 is: 1,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.92 : 3,567.05 = 734.25 : x
  2. Step 2: Convert to fraction form
    2,377.92/3,567.05 = 734.25/x
  3. Step 3: Cross multiply
    2,377.92x = 3,567.05 × 734.25
  4. Step 4: Simplify right side
    2,377.92x = 2,619,112.23
  5. Step 5: Solve for x
    x = 2,619,112.23/2,377.92
  6. Step 6: Final answer
    x = 1,101.43

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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.