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Finding the Fourth Proportional to 2,486.97, 3,732.14 and 1,026.11

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Solution

The fourth proportional to 2,486.97, 3,732.14 and 1,026.11 is: 1,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.97 : 3,732.14 = 1,026.11 : x
  2. Step 2: Convert to fraction form
    2,486.97/3,732.14 = 1,026.11/x
  3. Step 3: Cross multiply
    2,486.97x = 3,732.14 × 1,026.11
  4. Step 4: Simplify right side
    2,486.97x = 3,829,598.07
  5. Step 5: Solve for x
    x = 3,829,598.07/2,486.97
  6. Step 6: Final answer
    x = 1,539.87

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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.