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Finding the Fourth Proportional to 2,582.85, 3,876.08 and 1,542.19

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Solution

The fourth proportional to 2,582.85, 3,876.08 and 1,542.19 is: 2,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.85 : 3,876.08 = 1,542.19 : x
  2. Step 2: Convert to fraction form
    2,582.85/3,876.08 = 1,542.19/x
  3. Step 3: Cross multiply
    2,582.85x = 3,876.08 × 1,542.19
  4. Step 4: Simplify right side
    2,582.85x = 5,977,651.82
  5. Step 5: Solve for x
    x = 5,977,651.82/2,582.85
  6. Step 6: Final answer
    x = 2,314.36

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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.