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Finding the Fourth Proportional to 2,233.71, 3,349.89 and 934.88

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Solution

The fourth proportional to 2,233.71, 3,349.89 and 934.88 is: 1,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.71 : 3,349.89 = 934.88 : x
  2. Step 2: Convert to fraction form
    2,233.71/3,349.89 = 934.88/x
  3. Step 3: Cross multiply
    2,233.71x = 3,349.89 × 934.88
  4. Step 4: Simplify right side
    2,233.71x = 3,131,728.41
  5. Step 5: Solve for x
    x = 3,131,728.41/2,233.71
  6. Step 6: Final answer
    x = 1,402.03

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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.