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Finding the Fourth Proportional to 2,247.59, 3,100.70 and 1,461.71

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Solution

The fourth proportional to 2,247.59, 3,100.70 and 1,461.71 is: 2,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.59 : 3,100.70 = 1,461.71 : x
  2. Step 2: Convert to fraction form
    2,247.59/3,100.70 = 1,461.71/x
  3. Step 3: Cross multiply
    2,247.59x = 3,100.70 × 1,461.71
  4. Step 4: Simplify right side
    2,247.59x = 4,532,301.38
  5. Step 5: Solve for x
    x = 4,532,301.38/2,247.59
  6. Step 6: Final answer
    x = 2,016.52

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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.