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Finding the Fourth Proportional to 2,230.86, 3,339.30 and 1,491.06

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Solution

The fourth proportional to 2,230.86, 3,339.30 and 1,491.06 is: 2,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.86 : 3,339.30 = 1,491.06 : x
  2. Step 2: Convert to fraction form
    2,230.86/3,339.30 = 1,491.06/x
  3. Step 3: Cross multiply
    2,230.86x = 3,339.30 × 1,491.06
  4. Step 4: Simplify right side
    2,230.86x = 4,979,096.66
  5. Step 5: Solve for x
    x = 4,979,096.66/2,230.86
  6. Step 6: Final answer
    x = 2,231.92

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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.