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Finding the Fourth Proportional to 2,540.64, 3,810.90 and 1,000.56

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Solution

The fourth proportional to 2,540.64, 3,810.90 and 1,000.56 is: 1,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.64 : 3,810.90 = 1,000.56 : x
  2. Step 2: Convert to fraction form
    2,540.64/3,810.90 = 1,000.56/x
  3. Step 3: Cross multiply
    2,540.64x = 3,810.90 × 1,000.56
  4. Step 4: Simplify right side
    2,540.64x = 3,813,034.10
  5. Step 5: Solve for x
    x = 3,813,034.10/2,540.64
  6. Step 6: Final answer
    x = 1,500.82

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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.