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Finding the Fourth Proportional to 2,215.74, 3,323.46 and 1,600.56

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Solution

The fourth proportional to 2,215.74, 3,323.46 and 1,600.56 is: 2,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.74 : 3,323.46 = 1,600.56 : x
  2. Step 2: Convert to fraction form
    2,215.74/3,323.46 = 1,600.56/x
  3. Step 3: Cross multiply
    2,215.74x = 3,323.46 × 1,600.56
  4. Step 4: Simplify right side
    2,215.74x = 5,319,397.14
  5. Step 5: Solve for x
    x = 5,319,397.14/2,215.74
  6. Step 6: Final answer
    x = 2,400.73

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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.