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Finding the Fourth Proportional to 2,501.10, 3,752.06 and 769.73

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Solution

The fourth proportional to 2,501.10, 3,752.06 and 769.73 is: 1,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.10 : 3,752.06 = 769.73 : x
  2. Step 2: Convert to fraction form
    2,501.10/3,752.06 = 769.73/x
  3. Step 3: Cross multiply
    2,501.10x = 3,752.06 × 769.73
  4. Step 4: Simplify right side
    2,501.10x = 2,888,050.53
  5. Step 5: Solve for x
    x = 2,888,050.53/2,501.10
  6. Step 6: Final answer
    x = 1,154.71

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1.5x scale

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.