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Finding the Fourth Proportional to 3,023.92, 4,535.76 and 1,734.40

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Solution

The fourth proportional to 3,023.92, 4,535.76 and 1,734.40 is: 2,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.92 : 4,535.76 = 1,734.40 : x
  2. Step 2: Convert to fraction form
    3,023.92/4,535.76 = 1,734.40/x
  3. Step 3: Cross multiply
    3,023.92x = 4,535.76 × 1,734.40
  4. Step 4: Simplify right side
    3,023.92x = 7,866,822.14
  5. Step 5: Solve for x
    x = 7,866,822.14/3,023.92
  6. Step 6: Final answer
    x = 2,601.53

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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.