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Finding the Fourth Proportional to 2,635.16, 3,953.50 and 991.87

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Solution

The fourth proportional to 2,635.16, 3,953.50 and 991.87 is: 1,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.16 : 3,953.50 = 991.87 : x
  2. Step 2: Convert to fraction form
    2,635.16/3,953.50 = 991.87/x
  3. Step 3: Cross multiply
    2,635.16x = 3,953.50 × 991.87
  4. Step 4: Simplify right side
    2,635.16x = 3,921,345.68
  5. Step 5: Solve for x
    x = 3,921,345.68/2,635.16
  6. Step 6: Final answer
    x = 1,488.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.