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Finding the Fourth Proportional to 2,233.67, 3,351.07 and 1,310

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Solution

The fourth proportional to 2,233.67, 3,351.07 and 1,310 is: 1,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.67 : 3,351.07 = 1,310 : x
  2. Step 2: Convert to fraction form
    2,233.67/3,351.07 = 1,310/x
  3. Step 3: Cross multiply
    2,233.67x = 3,351.07 × 1,310
  4. Step 4: Simplify right side
    2,233.67x = 4,389,901.70
  5. Step 5: Solve for x
    x = 4,389,901.70/2,233.67
  6. Step 6: Final answer
    x = 1,965.33

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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.