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Finding the Fourth Proportional to 2,262.52, 3,397.02 and 2,223.64

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Solution

The fourth proportional to 2,262.52, 3,397.02 and 2,223.64 is: 3,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.52 : 3,397.02 = 2,223.64 : x
  2. Step 2: Convert to fraction form
    2,262.52/3,397.02 = 2,223.64/x
  3. Step 3: Cross multiply
    2,262.52x = 3,397.02 × 2,223.64
  4. Step 4: Simplify right side
    2,262.52x = 7,553,749.55
  5. Step 5: Solve for x
    x = 7,553,749.55/2,262.52
  6. Step 6: Final answer
    x = 3,338.64

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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.