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Finding the Fourth Proportional to 2,525.65, 3,781.71 and 2,380.07

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Solution

The fourth proportional to 2,525.65, 3,781.71 and 2,380.07 is: 3,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.65 : 3,781.71 = 2,380.07 : x
  2. Step 2: Convert to fraction form
    2,525.65/3,781.71 = 2,380.07/x
  3. Step 3: Cross multiply
    2,525.65x = 3,781.71 × 2,380.07
  4. Step 4: Simplify right side
    2,525.65x = 9,000,743.97
  5. Step 5: Solve for x
    x = 9,000,743.97/2,525.65
  6. Step 6: Final answer
    x = 3,563.74

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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.