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Finding the Fourth Proportional to 2,230.80, 3,347.48 and 1,742.48

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Solution

The fourth proportional to 2,230.80, 3,347.48 and 1,742.48 is: 2,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.80 : 3,347.48 = 1,742.48 : x
  2. Step 2: Convert to fraction form
    2,230.80/3,347.48 = 1,742.48/x
  3. Step 3: Cross multiply
    2,230.80x = 3,347.48 × 1,742.48
  4. Step 4: Simplify right side
    2,230.80x = 5,832,916.95
  5. Step 5: Solve for x
    x = 5,832,916.95/2,230.80
  6. Step 6: Final answer
    x = 2,614.72

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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.