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Finding the Fourth Proportional to 3,102.90, 4,655.13 and 1,155.66

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Solution

The fourth proportional to 3,102.90, 4,655.13 and 1,155.66 is: 1,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.90 : 4,655.13 = 1,155.66 : x
  2. Step 2: Convert to fraction form
    3,102.90/4,655.13 = 1,155.66/x
  3. Step 3: Cross multiply
    3,102.90x = 4,655.13 × 1,155.66
  4. Step 4: Simplify right side
    3,102.90x = 5,379,747.54
  5. Step 5: Solve for x
    x = 5,379,747.54/3,102.90
  6. Step 6: Final answer
    x = 1,733.78

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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.