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Finding the Fourth Proportional to 1,663.36, 2,295.12 and 1,139.20

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Solution

The fourth proportional to 1,663.36, 2,295.12 and 1,139.20 is: 1,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.36 : 2,295.12 = 1,139.20 : x
  2. Step 2: Convert to fraction form
    1,663.36/2,295.12 = 1,139.20/x
  3. Step 3: Cross multiply
    1,663.36x = 2,295.12 × 1,139.20
  4. Step 4: Simplify right side
    1,663.36x = 2,614,600.70
  5. Step 5: Solve for x
    x = 2,614,600.70/1,663.36
  6. Step 6: Final answer
    x = 1,571.88

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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.