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Finding the Fourth Proportional to 2,135.08, 3,200.73 and 747.55

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Solution

The fourth proportional to 2,135.08, 3,200.73 and 747.55 is: 1,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.08 : 3,200.73 = 747.55 : x
  2. Step 2: Convert to fraction form
    2,135.08/3,200.73 = 747.55/x
  3. Step 3: Cross multiply
    2,135.08x = 3,200.73 × 747.55
  4. Step 4: Simplify right side
    2,135.08x = 2,392,705.71
  5. Step 5: Solve for x
    x = 2,392,705.71/2,135.08
  6. Step 6: Final answer
    x = 1,120.66

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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.