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Finding the Fourth Proportional to 2,132.59, 3,199.06 and 745.90

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Solution

The fourth proportional to 2,132.59, 3,199.06 and 745.90 is: 1,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.59 : 3,199.06 = 745.90 : x
  2. Step 2: Convert to fraction form
    2,132.59/3,199.06 = 745.90/x
  3. Step 3: Cross multiply
    2,132.59x = 3,199.06 × 745.90
  4. Step 4: Simplify right side
    2,132.59x = 2,386,178.85
  5. Step 5: Solve for x
    x = 2,386,178.85/2,132.59
  6. Step 6: Final answer
    x = 1,118.91

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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.