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Finding the Fourth Proportional to 2,540.57, 3,810.85 and 981.32

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Solution

The fourth proportional to 2,540.57, 3,810.85 and 981.32 is: 1,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.57 : 3,810.85 = 981.32 : x
  2. Step 2: Convert to fraction form
    2,540.57/3,810.85 = 981.32/x
  3. Step 3: Cross multiply
    2,540.57x = 3,810.85 × 981.32
  4. Step 4: Simplify right side
    2,540.57x = 3,739,641.81
  5. Step 5: Solve for x
    x = 3,739,641.81/2,540.57
  6. Step 6: Final answer
    x = 1,471.97

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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.