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Finding the Fourth Proportional to 1,722.80, 2,584.51 and 749.59

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Solution

The fourth proportional to 1,722.80, 2,584.51 and 749.59 is: 1,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.80 : 2,584.51 = 749.59 : x
  2. Step 2: Convert to fraction form
    1,722.80/2,584.51 = 749.59/x
  3. Step 3: Cross multiply
    1,722.80x = 2,584.51 × 749.59
  4. Step 4: Simplify right side
    1,722.80x = 1,937,314.52
  5. Step 5: Solve for x
    x = 1,937,314.52/1,722.80
  6. Step 6: Final answer
    x = 1,124.51

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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.