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Finding the Fourth Proportional to 1,562.91, 2,342.40 and 1,367.45

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Solution

The fourth proportional to 1,562.91, 2,342.40 and 1,367.45 is: 2,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.91 : 2,342.40 = 1,367.45 : x
  2. Step 2: Convert to fraction form
    1,562.91/2,342.40 = 1,367.45/x
  3. Step 3: Cross multiply
    1,562.91x = 2,342.40 × 1,367.45
  4. Step 4: Simplify right side
    1,562.91x = 3,203,103.17
  5. Step 5: Solve for x
    x = 3,203,103.17/1,562.91
  6. Step 6: Final answer
    x = 2,049.45

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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.