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Finding the Fourth Proportional to 2,248.75, 3,373.51 and 767.82

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Solution

The fourth proportional to 2,248.75, 3,373.51 and 767.82 is: 1,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.75 : 3,373.51 = 767.82 : x
  2. Step 2: Convert to fraction form
    2,248.75/3,373.51 = 767.82/x
  3. Step 3: Cross multiply
    2,248.75x = 3,373.51 × 767.82
  4. Step 4: Simplify right side
    2,248.75x = 2,590,227.74
  5. Step 5: Solve for x
    x = 2,590,227.74/2,248.75
  6. Step 6: Final answer
    x = 1,151.85

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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.