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Finding the Fourth Proportional to 2,234.80, 3,348.60 and 1,411.60

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Solution

The fourth proportional to 2,234.80, 3,348.60 and 1,411.60 is: 2,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.80 : 3,348.60 = 1,411.60 : x
  2. Step 2: Convert to fraction form
    2,234.80/3,348.60 = 1,411.60/x
  3. Step 3: Cross multiply
    2,234.80x = 3,348.60 × 1,411.60
  4. Step 4: Simplify right side
    2,234.80x = 4,726,883.76
  5. Step 5: Solve for x
    x = 4,726,883.76/2,234.80
  6. Step 6: Final answer
    x = 2,115.13

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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.