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Finding the Fourth Proportional to 2,309.98, 3,466.49 and 849.14

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Solution

The fourth proportional to 2,309.98, 3,466.49 and 849.14 is: 1,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.98 : 3,466.49 = 849.14 : x
  2. Step 2: Convert to fraction form
    2,309.98/3,466.49 = 849.14/x
  3. Step 3: Cross multiply
    2,309.98x = 3,466.49 × 849.14
  4. Step 4: Simplify right side
    2,309.98x = 2,943,539.74
  5. Step 5: Solve for x
    x = 2,943,539.74/2,309.98
  6. Step 6: Final answer
    x = 1,274.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.