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Finding the Fourth Proportional to 2,399.57, 3,599.78 and 1,101.17

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Solution

The fourth proportional to 2,399.57, 3,599.78 and 1,101.17 is: 1,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.57 : 3,599.78 = 1,101.17 : x
  2. Step 2: Convert to fraction form
    2,399.57/3,599.78 = 1,101.17/x
  3. Step 3: Cross multiply
    2,399.57x = 3,599.78 × 1,101.17
  4. Step 4: Simplify right side
    2,399.57x = 3,963,964.24
  5. Step 5: Solve for x
    x = 3,963,964.24/2,399.57
  6. Step 6: Final answer
    x = 1,651.95

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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.