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Finding the Fourth Proportional to 1,221.48, 1,833.42 and 895.92

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Solution

The fourth proportional to 1,221.48, 1,833.42 and 895.92 is: 1,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.48 : 1,833.42 = 895.92 : x
  2. Step 2: Convert to fraction form
    1,221.48/1,833.42 = 895.92/x
  3. Step 3: Cross multiply
    1,221.48x = 1,833.42 × 895.92
  4. Step 4: Simplify right side
    1,221.48x = 1,642,597.65
  5. Step 5: Solve for x
    x = 1,642,597.65/1,221.48
  6. Step 6: Final answer
    x = 1,344.76

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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.