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Finding the Fourth Proportional to 1,744.74, 2,615.90 and 769.50

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Solution

The fourth proportional to 1,744.74, 2,615.90 and 769.50 is: 1,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.74 : 2,615.90 = 769.50 : x
  2. Step 2: Convert to fraction form
    1,744.74/2,615.90 = 769.50/x
  3. Step 3: Cross multiply
    1,744.74x = 2,615.90 × 769.50
  4. Step 4: Simplify right side
    1,744.74x = 2,012,931.20
  5. Step 5: Solve for x
    x = 2,012,931.20/1,744.74
  6. Step 6: Final answer
    x = 1,153.71

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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.