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Finding the Fourth Proportional to 1,734.34, 2,601.52 and 580.09

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Solution

The fourth proportional to 1,734.34, 2,601.52 and 580.09 is: 870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.34 : 2,601.52 = 580.09 : x
  2. Step 2: Convert to fraction form
    1,734.34/2,601.52 = 580.09/x
  3. Step 3: Cross multiply
    1,734.34x = 2,601.52 × 580.09
  4. Step 4: Simplify right side
    1,734.34x = 1,509,115.74
  5. Step 5: Solve for x
    x = 1,509,115.74/1,734.34
  6. Step 6: Final answer
    x = 870.14

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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.