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Finding the Fourth Proportional to 3,175.65, 4,382.66 and 1,849.44

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Solution

The fourth proportional to 3,175.65, 4,382.66 and 1,849.44 is: 2,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.65 : 4,382.66 = 1,849.44 : x
  2. Step 2: Convert to fraction form
    3,175.65/4,382.66 = 1,849.44/x
  3. Step 3: Cross multiply
    3,175.65x = 4,382.66 × 1,849.44
  4. Step 4: Simplify right side
    3,175.65x = 8,105,457.46
  5. Step 5: Solve for x
    x = 8,105,457.46/3,175.65
  6. Step 6: Final answer
    x = 2,552.38

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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.