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Finding the Fourth Proportional to 2,536.92, 3,500.31 and 1,488.78

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Solution

The fourth proportional to 2,536.92, 3,500.31 and 1,488.78 is: 2,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.92 : 3,500.31 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    2,536.92/3,500.31 = 1,488.78/x
  3. Step 3: Cross multiply
    2,536.92x = 3,500.31 × 1,488.78
  4. Step 4: Simplify right side
    2,536.92x = 5,211,191.52
  5. Step 5: Solve for x
    x = 5,211,191.52/2,536.92
  6. Step 6: Final answer
    x = 2,054.14

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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.