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Finding the Fourth Proportional to 2,342.48, 3,234.12 and 1,645.52

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Solution

The fourth proportional to 2,342.48, 3,234.12 and 1,645.52 is: 2,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.48 : 3,234.12 = 1,645.52 : x
  2. Step 2: Convert to fraction form
    2,342.48/3,234.12 = 1,645.52/x
  3. Step 3: Cross multiply
    2,342.48x = 3,234.12 × 1,645.52
  4. Step 4: Simplify right side
    2,342.48x = 5,321,809.14
  5. Step 5: Solve for x
    x = 5,321,809.14/2,342.48
  6. Step 6: Final answer
    x = 2,271.87

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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.