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Finding the Fourth Proportional to 2,711.56, 3,742.18 and 1,663.96

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Solution

The fourth proportional to 2,711.56, 3,742.18 and 1,663.96 is: 2,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.56 : 3,742.18 = 1,663.96 : x
  2. Step 2: Convert to fraction form
    2,711.56/3,742.18 = 1,663.96/x
  3. Step 3: Cross multiply
    2,711.56x = 3,742.18 × 1,663.96
  4. Step 4: Simplify right side
    2,711.56x = 6,226,837.83
  5. Step 5: Solve for x
    x = 6,226,837.83/2,711.56
  6. Step 6: Final answer
    x = 2,296.40

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Why These Related Problems?

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