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Finding the Fourth Proportional to 2,581.79, 3,562.86 and 1,402.88

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Solution

The fourth proportional to 2,581.79, 3,562.86 and 1,402.88 is: 1,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.79 : 3,562.86 = 1,402.88 : x
  2. Step 2: Convert to fraction form
    2,581.79/3,562.86 = 1,402.88/x
  3. Step 3: Cross multiply
    2,581.79x = 3,562.86 × 1,402.88
  4. Step 4: Simplify right side
    2,581.79x = 4,998,247.22
  5. Step 5: Solve for x
    x = 4,998,247.22/2,581.79
  6. Step 6: Final answer
    x = 1,935.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.