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Finding the Fourth Proportional to 2,781.56, 4,168.70 and 1,549.55

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Solution

The fourth proportional to 2,781.56, 4,168.70 and 1,549.55 is: 2,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.56 : 4,168.70 = 1,549.55 : x
  2. Step 2: Convert to fraction form
    2,781.56/4,168.70 = 1,549.55/x
  3. Step 3: Cross multiply
    2,781.56x = 4,168.70 × 1,549.55
  4. Step 4: Simplify right side
    2,781.56x = 6,459,617.57
  5. Step 5: Solve for x
    x = 6,459,617.57/2,781.56
  6. Step 6: Final answer
    x = 2,322.30

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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.