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Finding the Fourth Proportional to 1,642.35, 2,266.41 and 896.31

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Solution

The fourth proportional to 1,642.35, 2,266.41 and 896.31 is: 1,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.35 : 2,266.41 = 896.31 : x
  2. Step 2: Convert to fraction form
    1,642.35/2,266.41 = 896.31/x
  3. Step 3: Cross multiply
    1,642.35x = 2,266.41 × 896.31
  4. Step 4: Simplify right side
    1,642.35x = 2,031,390.13
  5. Step 5: Solve for x
    x = 2,031,390.13/1,642.35
  6. Step 6: Final answer
    x = 1,236.88

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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.