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Finding the Fourth Proportional to 1,734.94, 2,601.78 and 580.42

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Solution

The fourth proportional to 1,734.94, 2,601.78 and 580.42 is: 870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.94 : 2,601.78 = 580.42 : x
  2. Step 2: Convert to fraction form
    1,734.94/2,601.78 = 580.42/x
  3. Step 3: Cross multiply
    1,734.94x = 2,601.78 × 580.42
  4. Step 4: Simplify right side
    1,734.94x = 1,510,125.15
  5. Step 5: Solve for x
    x = 1,510,125.15/1,734.94
  6. Step 6: Final answer
    x = 870.42

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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.