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Finding the Fourth Proportional to 2,741.88, 4,113.54 and 1,443

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Solution

The fourth proportional to 2,741.88, 4,113.54 and 1,443 is: 2,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.88 : 4,113.54 = 1,443 : x
  2. Step 2: Convert to fraction form
    2,741.88/4,113.54 = 1,443/x
  3. Step 3: Cross multiply
    2,741.88x = 4,113.54 × 1,443
  4. Step 4: Simplify right side
    2,741.88x = 5,935,838.22
  5. Step 5: Solve for x
    x = 5,935,838.22/2,741.88
  6. Step 6: Final answer
    x = 2,164.88

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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.