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Finding the Fourth Proportional to 2,399.14, 3,597.12 and 1,149.91

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Solution

The fourth proportional to 2,399.14, 3,597.12 and 1,149.91 is: 1,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.14 : 3,597.12 = 1,149.91 : x
  2. Step 2: Convert to fraction form
    2,399.14/3,597.12 = 1,149.91/x
  3. Step 3: Cross multiply
    2,399.14x = 3,597.12 × 1,149.91
  4. Step 4: Simplify right side
    2,399.14x = 4,136,364.26
  5. Step 5: Solve for x
    x = 4,136,364.26/2,399.14
  6. Step 6: Final answer
    x = 1,724.10

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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.