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Finding the Fourth Proportional to 1,822.89, 2,512.78 and 1,349.65

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Solution

The fourth proportional to 1,822.89, 2,512.78 and 1,349.65 is: 1,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.89 : 2,512.78 = 1,349.65 : x
  2. Step 2: Convert to fraction form
    1,822.89/2,512.78 = 1,349.65/x
  3. Step 3: Cross multiply
    1,822.89x = 2,512.78 × 1,349.65
  4. Step 4: Simplify right side
    1,822.89x = 3,391,373.53
  5. Step 5: Solve for x
    x = 3,391,373.53/1,822.89
  6. Step 6: Final answer
    x = 1,860.44

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Why These Related Problems?

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