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Finding the Fourth Proportional to 2,677.74, 4,022.40 and 2,590.26

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Solution

The fourth proportional to 2,677.74, 4,022.40 and 2,590.26 is: 3,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.74 : 4,022.40 = 2,590.26 : x
  2. Step 2: Convert to fraction form
    2,677.74/4,022.40 = 2,590.26/x
  3. Step 3: Cross multiply
    2,677.74x = 4,022.40 × 2,590.26
  4. Step 4: Simplify right side
    2,677.74x = 10,419,061.82
  5. Step 5: Solve for x
    x = 10,419,061.82/2,677.74
  6. Step 6: Final answer
    x = 3,890.99

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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.