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Finding the Fourth Proportional to 2,722.64, 3,757.35 and 1,543.94

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Solution

The fourth proportional to 2,722.64, 3,757.35 and 1,543.94 is: 2,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.64 : 3,757.35 = 1,543.94 : x
  2. Step 2: Convert to fraction form
    2,722.64/3,757.35 = 1,543.94/x
  3. Step 3: Cross multiply
    2,722.64x = 3,757.35 × 1,543.94
  4. Step 4: Simplify right side
    2,722.64x = 5,801,122.96
  5. Step 5: Solve for x
    x = 5,801,122.96/2,722.64
  6. Step 6: Final answer
    x = 2,130.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.