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Finding the Fourth Proportional to 1,872.70, 2,584.94 and 1,209.04

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Solution

The fourth proportional to 1,872.70, 2,584.94 and 1,209.04 is: 1,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.70 : 2,584.94 = 1,209.04 : x
  2. Step 2: Convert to fraction form
    1,872.70/2,584.94 = 1,209.04/x
  3. Step 3: Cross multiply
    1,872.70x = 2,584.94 × 1,209.04
  4. Step 4: Simplify right side
    1,872.70x = 3,125,295.86
  5. Step 5: Solve for x
    x = 3,125,295.86/1,872.70
  6. Step 6: Final answer
    x = 1,668.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.