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Finding the Fourth Proportional to 2,230.26, 3,345.63 and 913.74

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Solution

The fourth proportional to 2,230.26, 3,345.63 and 913.74 is: 1,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.26 : 3,345.63 = 913.74 : x
  2. Step 2: Convert to fraction form
    2,230.26/3,345.63 = 913.74/x
  3. Step 3: Cross multiply
    2,230.26x = 3,345.63 × 913.74
  4. Step 4: Simplify right side
    2,230.26x = 3,057,035.96
  5. Step 5: Solve for x
    x = 3,057,035.96/2,230.26
  6. Step 6: Final answer
    x = 1,370.71

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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.