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Finding the Fourth Proportional to 2,340.59, 3,231.74 and 1,456.79

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Solution

The fourth proportional to 2,340.59, 3,231.74 and 1,456.79 is: 2,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.59 : 3,231.74 = 1,456.79 : x
  2. Step 2: Convert to fraction form
    2,340.59/3,231.74 = 1,456.79/x
  3. Step 3: Cross multiply
    2,340.59x = 3,231.74 × 1,456.79
  4. Step 4: Simplify right side
    2,340.59x = 4,707,954.00
  5. Step 5: Solve for x
    x = 4,707,954.00/2,340.59
  6. Step 6: Final answer
    x = 2,011.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.