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Finding the Fourth Proportional to 3,097.07, 4,642.87 and 1,147.91

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Solution

The fourth proportional to 3,097.07, 4,642.87 and 1,147.91 is: 1,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.07 : 4,642.87 = 1,147.91 : x
  2. Step 2: Convert to fraction form
    3,097.07/4,642.87 = 1,147.91/x
  3. Step 3: Cross multiply
    3,097.07x = 4,642.87 × 1,147.91
  4. Step 4: Simplify right side
    3,097.07x = 5,329,591.16
  5. Step 5: Solve for x
    x = 5,329,591.16/3,097.07
  6. Step 6: Final answer
    x = 1,720.85

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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.