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Finding the Fourth Proportional to 2,230.96, 3,347.52 and 1,364.80

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Solution

The fourth proportional to 2,230.96, 3,347.52 and 1,364.80 is: 2,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.96 : 3,347.52 = 1,364.80 : x
  2. Step 2: Convert to fraction form
    2,230.96/3,347.52 = 1,364.80/x
  3. Step 3: Cross multiply
    2,230.96x = 3,347.52 × 1,364.80
  4. Step 4: Simplify right side
    2,230.96x = 4,568,695.30
  5. Step 5: Solve for x
    x = 4,568,695.30/2,230.96
  6. Step 6: Final answer
    x = 2,047.86

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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.