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Finding the Fourth Proportional to 1,642.28, 2,266.31 and 896.22

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Solution

The fourth proportional to 1,642.28, 2,266.31 and 896.22 is: 1,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.28 : 2,266.31 = 896.22 : x
  2. Step 2: Convert to fraction form
    1,642.28/2,266.31 = 896.22/x
  3. Step 3: Cross multiply
    1,642.28x = 2,266.31 × 896.22
  4. Step 4: Simplify right side
    1,642.28x = 2,031,114.59
  5. Step 5: Solve for x
    x = 2,031,114.59/1,642.28
  6. Step 6: Final answer
    x = 1,236.77

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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.