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Finding the Fourth Proportional to 2,266.71, 3,399.39 and 880.26

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Solution

The fourth proportional to 2,266.71, 3,399.39 and 880.26 is: 1,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.71 : 3,399.39 = 880.26 : x
  2. Step 2: Convert to fraction form
    2,266.71/3,399.39 = 880.26/x
  3. Step 3: Cross multiply
    2,266.71x = 3,399.39 × 880.26
  4. Step 4: Simplify right side
    2,266.71x = 2,992,347.04
  5. Step 5: Solve for x
    x = 2,992,347.04/2,266.71
  6. Step 6: Final answer
    x = 1,320.13

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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.