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Finding the Fourth Proportional to 2,230.71, 3,345.12 and 913.56

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Solution

The fourth proportional to 2,230.71, 3,345.12 and 913.56 is: 1,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.71 : 3,345.12 = 913.56 : x
  2. Step 2: Convert to fraction form
    2,230.71/3,345.12 = 913.56/x
  3. Step 3: Cross multiply
    2,230.71x = 3,345.12 × 913.56
  4. Step 4: Simplify right side
    2,230.71x = 3,055,967.83
  5. Step 5: Solve for x
    x = 3,055,967.83/2,230.71
  6. Step 6: Final answer
    x = 1,369.95

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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.