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Finding the Fourth Proportional to 2,125.52, 3,188.31 and 738.90

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Solution

The fourth proportional to 2,125.52, 3,188.31 and 738.90 is: 1,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.52 : 3,188.31 = 738.90 : x
  2. Step 2: Convert to fraction form
    2,125.52/3,188.31 = 738.90/x
  3. Step 3: Cross multiply
    2,125.52x = 3,188.31 × 738.90
  4. Step 4: Simplify right side
    2,125.52x = 2,355,841.26
  5. Step 5: Solve for x
    x = 2,355,841.26/2,125.52
  6. Step 6: Final answer
    x = 1,108.36

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1.5x scale

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.