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Finding the Fourth Proportional to 2,579.12, 3,869.04 and 1,040

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Solution

The fourth proportional to 2,579.12, 3,869.04 and 1,040 is: 1,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.12 : 3,869.04 = 1,040 : x
  2. Step 2: Convert to fraction form
    2,579.12/3,869.04 = 1,040/x
  3. Step 3: Cross multiply
    2,579.12x = 3,869.04 × 1,040
  4. Step 4: Simplify right side
    2,579.12x = 4,023,801.60
  5. Step 5: Solve for x
    x = 4,023,801.60/2,579.12
  6. Step 6: Final answer
    x = 1,560.15

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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.