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Finding the Fourth Proportional to 2,234, 3,348.12 and 1,652.24

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Solution

The fourth proportional to 2,234, 3,348.12 and 1,652.24 is: 2,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 3,348.12 = 1,652.24 : x
  2. Step 2: Convert to fraction form
    2,234/3,348.12 = 1,652.24/x
  3. Step 3: Cross multiply
    2,234x = 3,348.12 × 1,652.24
  4. Step 4: Simplify right side
    2,234x = 5,531,897.79
  5. Step 5: Solve for x
    x = 5,531,897.79/2,234
  6. Step 6: Final answer
    x = 2,476.23

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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.