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Finding the Fourth Proportional to 2,537.32, 3,806.06 and 998.76

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Solution

The fourth proportional to 2,537.32, 3,806.06 and 998.76 is: 1,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.32 : 3,806.06 = 998.76 : x
  2. Step 2: Convert to fraction form
    2,537.32/3,806.06 = 998.76/x
  3. Step 3: Cross multiply
    2,537.32x = 3,806.06 × 998.76
  4. Step 4: Simplify right side
    2,537.32x = 3,801,340.49
  5. Step 5: Solve for x
    x = 3,801,340.49/2,537.32
  6. Step 6: Final answer
    x = 1,498.17

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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.