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Finding the Fourth Proportional to 2,233.68, 3,350.46 and 772.98

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Solution

The fourth proportional to 2,233.68, 3,350.46 and 772.98 is: 1,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.68 : 3,350.46 = 772.98 : x
  2. Step 2: Convert to fraction form
    2,233.68/3,350.46 = 772.98/x
  3. Step 3: Cross multiply
    2,233.68x = 3,350.46 × 772.98
  4. Step 4: Simplify right side
    2,233.68x = 2,589,838.57
  5. Step 5: Solve for x
    x = 2,589,838.57/2,233.68
  6. Step 6: Final answer
    x = 1,159.45

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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.