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Finding the Fourth Proportional to 2,230.29, 3,344.18 and 913.68

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Solution

The fourth proportional to 2,230.29, 3,344.18 and 913.68 is: 1,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.29 : 3,344.18 = 913.68 : x
  2. Step 2: Convert to fraction form
    2,230.29/3,344.18 = 913.68/x
  3. Step 3: Cross multiply
    2,230.29x = 3,344.18 × 913.68
  4. Step 4: Simplify right side
    2,230.29x = 3,055,510.38
  5. Step 5: Solve for x
    x = 3,055,510.38/2,230.29
  6. Step 6: Final answer
    x = 1,370.01

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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.