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Finding the Fourth Proportional to 2,541.53, 3,810.51 and 981.42

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Solution

The fourth proportional to 2,541.53, 3,810.51 and 981.42 is: 1,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.53 : 3,810.51 = 981.42 : x
  2. Step 2: Convert to fraction form
    2,541.53/3,810.51 = 981.42/x
  3. Step 3: Cross multiply
    2,541.53x = 3,810.51 × 981.42
  4. Step 4: Simplify right side
    2,541.53x = 3,739,692.29
  5. Step 5: Solve for x
    x = 3,739,692.29/2,541.53
  6. Step 6: Final answer
    x = 1,471.43

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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.