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Finding the Fourth Proportional to 2,878.65, 4,324.14 and 2,440.80

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Solution

The fourth proportional to 2,878.65, 4,324.14 and 2,440.80 is: 3,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.65 : 4,324.14 = 2,440.80 : x
  2. Step 2: Convert to fraction form
    2,878.65/4,324.14 = 2,440.80/x
  3. Step 3: Cross multiply
    2,878.65x = 4,324.14 × 2,440.80
  4. Step 4: Simplify right side
    2,878.65x = 10,554,360.91
  5. Step 5: Solve for x
    x = 10,554,360.91/2,878.65
  6. Step 6: Final answer
    x = 3,666.43

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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.