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Finding the Fourth Proportional to 2,590.47, 3,882.05 and 1,028.88

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Solution

The fourth proportional to 2,590.47, 3,882.05 and 1,028.88 is: 1,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.47 : 3,882.05 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    2,590.47/3,882.05 = 1,028.88/x
  3. Step 3: Cross multiply
    2,590.47x = 3,882.05 × 1,028.88
  4. Step 4: Simplify right side
    2,590.47x = 3,994,158.46
  5. Step 5: Solve for x
    x = 3,994,158.46/2,590.47
  6. Step 6: Final answer
    x = 1,541.87

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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.