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Finding the Fourth Proportional to 2,686.48, 4,029.76 and 1,043.24

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Solution

The fourth proportional to 2,686.48, 4,029.76 and 1,043.24 is: 1,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.48 : 4,029.76 = 1,043.24 : x
  2. Step 2: Convert to fraction form
    2,686.48/4,029.76 = 1,043.24/x
  3. Step 3: Cross multiply
    2,686.48x = 4,029.76 × 1,043.24
  4. Step 4: Simplify right side
    2,686.48x = 4,204,006.82
  5. Step 5: Solve for x
    x = 4,204,006.82/2,686.48
  6. Step 6: Final answer
    x = 1,564.88

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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.