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Finding the Fourth Proportional to 2,850.16, 3,932.16 and 1,730.72

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Solution

The fourth proportional to 2,850.16, 3,932.16 and 1,730.72 is: 2,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.16 : 3,932.16 = 1,730.72 : x
  2. Step 2: Convert to fraction form
    2,850.16/3,932.16 = 1,730.72/x
  3. Step 3: Cross multiply
    2,850.16x = 3,932.16 × 1,730.72
  4. Step 4: Simplify right side
    2,850.16x = 6,805,467.96
  5. Step 5: Solve for x
    x = 6,805,467.96/2,850.16
  6. Step 6: Final answer
    x = 2,387.75

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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.