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Finding the Fourth Proportional to 2,686.64, 4,027.05 and 1,042.70

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Solution

The fourth proportional to 2,686.64, 4,027.05 and 1,042.70 is: 1,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.64 : 4,027.05 = 1,042.70 : x
  2. Step 2: Convert to fraction form
    2,686.64/4,027.05 = 1,042.70/x
  3. Step 3: Cross multiply
    2,686.64x = 4,027.05 × 1,042.70
  4. Step 4: Simplify right side
    2,686.64x = 4,199,005.04
  5. Step 5: Solve for x
    x = 4,199,005.04/2,686.64
  6. Step 6: Final answer
    x = 1,562.92

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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.