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Finding the Fourth Proportional to 2,626.97, 3,940.40 and 778.10

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Solution

The fourth proportional to 2,626.97, 3,940.40 and 778.10 is: 1,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.97 : 3,940.40 = 778.10 : x
  2. Step 2: Convert to fraction form
    2,626.97/3,940.40 = 778.10/x
  3. Step 3: Cross multiply
    2,626.97x = 3,940.40 × 778.10
  4. Step 4: Simplify right side
    2,626.97x = 3,066,007.48
  5. Step 5: Solve for x
    x = 3,066,007.48/2,626.97
  6. Step 6: Final answer
    x = 1,167.13

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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.