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Finding the Fourth Proportional to 2,582.79, 3,878.25 and 2,498.70

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Solution

The fourth proportional to 2,582.79, 3,878.25 and 2,498.70 is: 3,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.79 : 3,878.25 = 2,498.70 : x
  2. Step 2: Convert to fraction form
    2,582.79/3,878.25 = 2,498.70/x
  3. Step 3: Cross multiply
    2,582.79x = 3,878.25 × 2,498.70
  4. Step 4: Simplify right side
    2,582.79x = 9,690,583.28
  5. Step 5: Solve for x
    x = 9,690,583.28/2,582.79
  6. Step 6: Final answer
    x = 3,751.98

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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.