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Finding the Fourth Proportional to 2,306.44, 3,459.78 and 767.56

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Solution

The fourth proportional to 2,306.44, 3,459.78 and 767.56 is: 1,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.44 : 3,459.78 = 767.56 : x
  2. Step 2: Convert to fraction form
    2,306.44/3,459.78 = 767.56/x
  3. Step 3: Cross multiply
    2,306.44x = 3,459.78 × 767.56
  4. Step 4: Simplify right side
    2,306.44x = 2,655,588.74
  5. Step 5: Solve for x
    x = 2,655,588.74/2,306.44
  6. Step 6: Final answer
    x = 1,151.38

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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.