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Finding the Fourth Proportional to 1,369.89, 2,052.99 and 1,140.24

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Solution

The fourth proportional to 1,369.89, 2,052.99 and 1,140.24 is: 1,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.89 : 2,052.99 = 1,140.24 : x
  2. Step 2: Convert to fraction form
    1,369.89/2,052.99 = 1,140.24/x
  3. Step 3: Cross multiply
    1,369.89x = 2,052.99 × 1,140.24
  4. Step 4: Simplify right side
    1,369.89x = 2,340,901.32
  5. Step 5: Solve for x
    x = 2,340,901.32/1,369.89
  6. Step 6: Final answer
    x = 1,708.82

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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.