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Finding the Fourth Proportional to 2,232.69, 3,081.74 and 1,348.55

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Solution

The fourth proportional to 2,232.69, 3,081.74 and 1,348.55 is: 1,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.69 : 3,081.74 = 1,348.55 : x
  2. Step 2: Convert to fraction form
    2,232.69/3,081.74 = 1,348.55/x
  3. Step 3: Cross multiply
    2,232.69x = 3,081.74 × 1,348.55
  4. Step 4: Simplify right side
    2,232.69x = 4,155,880.48
  5. Step 5: Solve for x
    x = 4,155,880.48/2,232.69
  6. Step 6: Final answer
    x = 1,861.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.