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Finding the Fourth Proportional to 2,759.40, 4,138.60 and 811.16

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Solution

The fourth proportional to 2,759.40, 4,138.60 and 811.16 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.40 : 4,138.60 = 811.16 : x
  2. Step 2: Convert to fraction form
    2,759.40/4,138.60 = 811.16/x
  3. Step 3: Cross multiply
    2,759.40x = 4,138.60 × 811.16
  4. Step 4: Simplify right side
    2,759.40x = 3,357,066.78
  5. Step 5: Solve for x
    x = 3,357,066.78/2,759.40
  6. Step 6: Final answer
    x = 1,216.59

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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.