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Finding the Fourth Proportional to 1,451.26, 2,176.71 and 411.34

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Solution

The fourth proportional to 1,451.26, 2,176.71 and 411.34 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.26 : 2,176.71 = 411.34 : x
  2. Step 2: Convert to fraction form
    1,451.26/2,176.71 = 411.34/x
  3. Step 3: Cross multiply
    1,451.26x = 2,176.71 × 411.34
  4. Step 4: Simplify right side
    1,451.26x = 895,367.89
  5. Step 5: Solve for x
    x = 895,367.89/1,451.26
  6. Step 6: Final answer
    x = 616.96

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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.