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Finding the Fourth Proportional to 2,031.88, 2,804.17 and 1,147.85

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Solution

The fourth proportional to 2,031.88, 2,804.17 and 1,147.85 is: 1,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.88 : 2,804.17 = 1,147.85 : x
  2. Step 2: Convert to fraction form
    2,031.88/2,804.17 = 1,147.85/x
  3. Step 3: Cross multiply
    2,031.88x = 2,804.17 × 1,147.85
  4. Step 4: Simplify right side
    2,031.88x = 3,218,766.53
  5. Step 5: Solve for x
    x = 3,218,766.53/2,031.88
  6. Step 6: Final answer
    x = 1,584.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.