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Finding the Fourth Proportional to 2,233.98, 3,348.90 and 772.79

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Solution

The fourth proportional to 2,233.98, 3,348.90 and 772.79 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.98 : 3,348.90 = 772.79 : x
  2. Step 2: Convert to fraction form
    2,233.98/3,348.90 = 772.79/x
  3. Step 3: Cross multiply
    2,233.98x = 3,348.90 × 772.79
  4. Step 4: Simplify right side
    2,233.98x = 2,587,996.43
  5. Step 5: Solve for x
    x = 2,587,996.43/2,233.98
  6. Step 6: Final answer
    x = 1,158.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.