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Finding the Fourth Proportional to 2,587.77, 3,882.06 and 1,026.99

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Solution

The fourth proportional to 2,587.77, 3,882.06 and 1,026.99 is: 1,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.77 : 3,882.06 = 1,026.99 : x
  2. Step 2: Convert to fraction form
    2,587.77/3,882.06 = 1,026.99/x
  3. Step 3: Cross multiply
    2,587.77x = 3,882.06 × 1,026.99
  4. Step 4: Simplify right side
    2,587.77x = 3,986,836.80
  5. Step 5: Solve for x
    x = 3,986,836.80/2,587.77
  6. Step 6: Final answer
    x = 1,540.65

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