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Finding the Fourth Proportional to 2,125.52, 3,187.52 and 738.60

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Solution

The fourth proportional to 2,125.52, 3,187.52 and 738.60 is: 1,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.52 : 3,187.52 = 738.60 : x
  2. Step 2: Convert to fraction form
    2,125.52/3,187.52 = 738.60/x
  3. Step 3: Cross multiply
    2,125.52x = 3,187.52 × 738.60
  4. Step 4: Simplify right side
    2,125.52x = 2,354,302.27
  5. Step 5: Solve for x
    x = 2,354,302.27/2,125.52
  6. Step 6: Final answer
    x = 1,107.64

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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.