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Finding the Fourth Proportional to 2,579.52, 3,869.10 and 935.76

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Solution

The fourth proportional to 2,579.52, 3,869.10 and 935.76 is: 1,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.52 : 3,869.10 = 935.76 : x
  2. Step 2: Convert to fraction form
    2,579.52/3,869.10 = 935.76/x
  3. Step 3: Cross multiply
    2,579.52x = 3,869.10 × 935.76
  4. Step 4: Simplify right side
    2,579.52x = 3,620,549.02
  5. Step 5: Solve for x
    x = 3,620,549.02/2,579.52
  6. Step 6: Final answer
    x = 1,403.57

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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.