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Finding the Fourth Proportional to 2,254.90, 3,381.53 and 867.53

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Solution

The fourth proportional to 2,254.90, 3,381.53 and 867.53 is: 1,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.90 : 3,381.53 = 867.53 : x
  2. Step 2: Convert to fraction form
    2,254.90/3,381.53 = 867.53/x
  3. Step 3: Cross multiply
    2,254.90x = 3,381.53 × 867.53
  4. Step 4: Simplify right side
    2,254.90x = 2,933,561.81
  5. Step 5: Solve for x
    x = 2,933,561.81/2,254.90
  6. Step 6: Final answer
    x = 1,300.97

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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.