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Finding the Fourth Proportional to 2,233.09, 3,349.68 and 772.28

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Solution

The fourth proportional to 2,233.09, 3,349.68 and 772.28 is: 1,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.09 : 3,349.68 = 772.28 : x
  2. Step 2: Convert to fraction form
    2,233.09/3,349.68 = 772.28/x
  3. Step 3: Cross multiply
    2,233.09x = 3,349.68 × 772.28
  4. Step 4: Simplify right side
    2,233.09x = 2,586,904.80
  5. Step 5: Solve for x
    x = 2,586,904.80/2,233.09
  6. Step 6: Final answer
    x = 1,158.44

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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.