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Finding the Fourth Proportional to 3,001.92, 4,472.72 and 2,834.25

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Solution

The fourth proportional to 3,001.92, 4,472.72 and 2,834.25 is: 4,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.92 : 4,472.72 = 2,834.25 : x
  2. Step 2: Convert to fraction form
    3,001.92/4,472.72 = 2,834.25/x
  3. Step 3: Cross multiply
    3,001.92x = 4,472.72 × 2,834.25
  4. Step 4: Simplify right side
    3,001.92x = 12,676,792.49
  5. Step 5: Solve for x
    x = 12,676,792.49/3,001.92
  6. Step 6: Final answer
    x = 4,222.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.