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Finding the Fourth Proportional to 2,228.92, 3,343.08 and 585.52

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Solution

The fourth proportional to 2,228.92, 3,343.08 and 585.52 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.92 : 3,343.08 = 585.52 : x
  2. Step 2: Convert to fraction form
    2,228.92/3,343.08 = 585.52/x
  3. Step 3: Cross multiply
    2,228.92x = 3,343.08 × 585.52
  4. Step 4: Simplify right side
    2,228.92x = 1,957,440.20
  5. Step 5: Solve for x
    x = 1,957,440.20/2,228.92
  6. Step 6: Final answer
    x = 878.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.