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Finding the Fourth Proportional to 3,175.76, 4,382.58 and 1,849.58

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Solution

The fourth proportional to 3,175.76, 4,382.58 and 1,849.58 is: 2,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.76 : 4,382.58 = 1,849.58 : x
  2. Step 2: Convert to fraction form
    3,175.76/4,382.58 = 1,849.58/x
  3. Step 3: Cross multiply
    3,175.76x = 4,382.58 × 1,849.58
  4. Step 4: Simplify right side
    3,175.76x = 8,105,932.32
  5. Step 5: Solve for x
    x = 8,105,932.32/3,175.76
  6. Step 6: Final answer
    x = 2,552.44

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1.5x scale

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.