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Finding the Fourth Proportional to 2,541.20, 3,808.20 and 1,877.90

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Solution

The fourth proportional to 2,541.20, 3,808.20 and 1,877.90 is: 2,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.20 : 3,808.20 = 1,877.90 : x
  2. Step 2: Convert to fraction form
    2,541.20/3,808.20 = 1,877.90/x
  3. Step 3: Cross multiply
    2,541.20x = 3,808.20 × 1,877.90
  4. Step 4: Simplify right side
    2,541.20x = 7,151,418.78
  5. Step 5: Solve for x
    x = 7,151,418.78/2,541.20
  6. Step 6: Final answer
    x = 2,814.19

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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.