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Finding the Fourth Proportional to 2,849.34, 4,252.65 and 2,502.66

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Solution

The fourth proportional to 2,849.34, 4,252.65 and 2,502.66 is: 3,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.34 : 4,252.65 = 2,502.66 : x
  2. Step 2: Convert to fraction form
    2,849.34/4,252.65 = 2,502.66/x
  3. Step 3: Cross multiply
    2,849.34x = 4,252.65 × 2,502.66
  4. Step 4: Simplify right side
    2,849.34x = 10,642,937.05
  5. Step 5: Solve for x
    x = 10,642,937.05/2,849.34
  6. Step 6: Final answer
    x = 3,735.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.