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Finding the Fourth Proportional to 2,578.63, 3,867.94 and 935.17

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Solution

The fourth proportional to 2,578.63, 3,867.94 and 935.17 is: 1,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.63 : 3,867.94 = 935.17 : x
  2. Step 2: Convert to fraction form
    2,578.63/3,867.94 = 935.17/x
  3. Step 3: Cross multiply
    2,578.63x = 3,867.94 × 935.17
  4. Step 4: Simplify right side
    2,578.63x = 3,617,187.45
  5. Step 5: Solve for x
    x = 3,617,187.45/2,578.63
  6. Step 6: Final answer
    x = 1,402.76

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.