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Finding the Fourth Proportional to 2,132.81, 3,199.71 and 745.77

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Solution

The fourth proportional to 2,132.81, 3,199.71 and 745.77 is: 1,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.81 : 3,199.71 = 745.77 : x
  2. Step 2: Convert to fraction form
    2,132.81/3,199.71 = 745.77/x
  3. Step 3: Cross multiply
    2,132.81x = 3,199.71 × 745.77
  4. Step 4: Simplify right side
    2,132.81x = 2,386,247.73
  5. Step 5: Solve for x
    x = 2,386,247.73/2,132.81
  6. Step 6: Final answer
    x = 1,118.83

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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.