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Finding the Fourth Proportional to 1,734.32, 2,601.68 and 760.30

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Solution

The fourth proportional to 1,734.32, 2,601.68 and 760.30 is: 1,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.32 : 2,601.68 = 760.30 : x
  2. Step 2: Convert to fraction form
    1,734.32/2,601.68 = 760.30/x
  3. Step 3: Cross multiply
    1,734.32x = 2,601.68 × 760.30
  4. Step 4: Simplify right side
    1,734.32x = 1,978,057.30
  5. Step 5: Solve for x
    x = 1,978,057.30/1,734.32
  6. Step 6: Final answer
    x = 1,140.54

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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.