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Finding the Fourth Proportional to 2,264.31, 3,124.04 and 1,566.09

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Solution

The fourth proportional to 2,264.31, 3,124.04 and 1,566.09 is: 2,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.31 : 3,124.04 = 1,566.09 : x
  2. Step 2: Convert to fraction form
    2,264.31/3,124.04 = 1,566.09/x
  3. Step 3: Cross multiply
    2,264.31x = 3,124.04 × 1,566.09
  4. Step 4: Simplify right side
    2,264.31x = 4,892,519.97
  5. Step 5: Solve for x
    x = 4,892,519.97/2,264.31
  6. Step 6: Final answer
    x = 2,160.71

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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.