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Finding the Fourth Proportional to 2,686.88, 4,029.18 and 1,043.12

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Solution

The fourth proportional to 2,686.88, 4,029.18 and 1,043.12 is: 1,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.88 : 4,029.18 = 1,043.12 : x
  2. Step 2: Convert to fraction form
    2,686.88/4,029.18 = 1,043.12/x
  3. Step 3: Cross multiply
    2,686.88x = 4,029.18 × 1,043.12
  4. Step 4: Simplify right side
    2,686.88x = 4,202,918.24
  5. Step 5: Solve for x
    x = 4,202,918.24/2,686.88
  6. Step 6: Final answer
    x = 1,564.24

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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.