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Finding the Fourth Proportional to 2,264.56, 3,124.02 and 1,601.78

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Solution

The fourth proportional to 2,264.56, 3,124.02 and 1,601.78 is: 2,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.56 : 3,124.02 = 1,601.78 : x
  2. Step 2: Convert to fraction form
    2,264.56/3,124.02 = 1,601.78/x
  3. Step 3: Cross multiply
    2,264.56x = 3,124.02 × 1,601.78
  4. Step 4: Simplify right side
    2,264.56x = 5,003,983.14
  5. Step 5: Solve for x
    x = 5,003,983.14/2,264.56
  6. Step 6: Final answer
    x = 2,209.70

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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.