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Finding the Fourth Proportional to 2,578.40, 3,867.41 and 934.64

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Solution

The fourth proportional to 2,578.40, 3,867.41 and 934.64 is: 1,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.40 : 3,867.41 = 934.64 : x
  2. Step 2: Convert to fraction form
    2,578.40/3,867.41 = 934.64/x
  3. Step 3: Cross multiply
    2,578.40x = 3,867.41 × 934.64
  4. Step 4: Simplify right side
    2,578.40x = 3,614,619.08
  5. Step 5: Solve for x
    x = 3,614,619.08/2,578.40
  6. Step 6: Final answer
    x = 1,401.89

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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.