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Finding the Fourth Proportional to 2,257.87, 3,119.77 and 1,864.21

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Solution

The fourth proportional to 2,257.87, 3,119.77 and 1,864.21 is: 2,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.87 : 3,119.77 = 1,864.21 : x
  2. Step 2: Convert to fraction form
    2,257.87/3,119.77 = 1,864.21/x
  3. Step 3: Cross multiply
    2,257.87x = 3,119.77 × 1,864.21
  4. Step 4: Simplify right side
    2,257.87x = 5,815,897.11
  5. Step 5: Solve for x
    x = 5,815,897.11/2,257.87
  6. Step 6: Final answer
    x = 2,575.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.