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Finding the Fourth Proportional to 2,860.17, 3,952.17 and 2,232.30

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Solution

The fourth proportional to 2,860.17, 3,952.17 and 2,232.30 is: 3,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.17 : 3,952.17 = 2,232.30 : x
  2. Step 2: Convert to fraction form
    2,860.17/3,952.17 = 2,232.30/x
  3. Step 3: Cross multiply
    2,860.17x = 3,952.17 × 2,232.30
  4. Step 4: Simplify right side
    2,860.17x = 8,822,429.09
  5. Step 5: Solve for x
    x = 8,822,429.09/2,860.17
  6. Step 6: Final answer
    x = 3,084.58

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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.