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Finding the Fourth Proportional to 2,462.55, 3,397.59 and 1,576.82

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Solution

The fourth proportional to 2,462.55, 3,397.59 and 1,576.82 is: 2,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.55 : 3,397.59 = 1,576.82 : x
  2. Step 2: Convert to fraction form
    2,462.55/3,397.59 = 1,576.82/x
  3. Step 3: Cross multiply
    2,462.55x = 3,397.59 × 1,576.82
  4. Step 4: Simplify right side
    2,462.55x = 5,357,370.88
  5. Step 5: Solve for x
    x = 5,357,370.88/2,462.55
  6. Step 6: Final answer
    x = 2,175.54

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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.