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Finding the Fourth Proportional to 1,872.69, 2,583.81 and 1,209.30

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Solution

The fourth proportional to 1,872.69, 2,583.81 and 1,209.30 is: 1,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.69 : 2,583.81 = 1,209.30 : x
  2. Step 2: Convert to fraction form
    1,872.69/2,583.81 = 1,209.30/x
  3. Step 3: Cross multiply
    1,872.69x = 2,583.81 × 1,209.30
  4. Step 4: Simplify right side
    1,872.69x = 3,124,601.43
  5. Step 5: Solve for x
    x = 3,124,601.43/1,872.69
  6. Step 6: Final answer
    x = 1,668.51

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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.