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Finding the Fourth Proportional to 3,044.34, 4,199.10 and 1,866

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Solution

The fourth proportional to 3,044.34, 4,199.10 and 1,866 is: 2,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.34 : 4,199.10 = 1,866 : x
  2. Step 2: Convert to fraction form
    3,044.34/4,199.10 = 1,866/x
  3. Step 3: Cross multiply
    3,044.34x = 4,199.10 × 1,866
  4. Step 4: Simplify right side
    3,044.34x = 7,835,520.60
  5. Step 5: Solve for x
    x = 7,835,520.60/3,044.34
  6. Step 6: Final answer
    x = 2,573.80

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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.