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Finding the Fourth Proportional to 1,734, 2,601.28 and 580.02

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Solution

The fourth proportional to 1,734, 2,601.28 and 580.02 is: 870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734 : 2,601.28 = 580.02 : x
  2. Step 2: Convert to fraction form
    1,734/2,601.28 = 580.02/x
  3. Step 3: Cross multiply
    1,734x = 2,601.28 × 580.02
  4. Step 4: Simplify right side
    1,734x = 1,508,794.43
  5. Step 5: Solve for x
    x = 1,508,794.43/1,734
  6. Step 6: Final answer
    x = 870.12

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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.