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Finding the Fourth Proportional to 1,748.67, 2,621.79 and 774.24

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Solution

The fourth proportional to 1,748.67, 2,621.79 and 774.24 is: 1,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.67 : 2,621.79 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,748.67/2,621.79 = 774.24/x
  3. Step 3: Cross multiply
    1,748.67x = 2,621.79 × 774.24
  4. Step 4: Simplify right side
    1,748.67x = 2,029,894.69
  5. Step 5: Solve for x
    x = 2,029,894.69/1,748.67
  6. Step 6: Final answer
    x = 1,160.82

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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.