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Finding the Fourth Proportional to 2,466.36, 3,400.97 and 1,934.25

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Solution

The fourth proportional to 2,466.36, 3,400.97 and 1,934.25 is: 2,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.36 : 3,400.97 = 1,934.25 : x
  2. Step 2: Convert to fraction form
    2,466.36/3,400.97 = 1,934.25/x
  3. Step 3: Cross multiply
    2,466.36x = 3,400.97 × 1,934.25
  4. Step 4: Simplify right side
    2,466.36x = 6,578,316.55
  5. Step 5: Solve for x
    x = 6,578,316.55/2,466.36
  6. Step 6: Final answer
    x = 2,667.22

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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.