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Finding the Fourth Proportional to 1,642.61, 2,266.80 and 896.57

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Solution

The fourth proportional to 1,642.61, 2,266.80 and 896.57 is: 1,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.61 : 2,266.80 = 896.57 : x
  2. Step 2: Convert to fraction form
    1,642.61/2,266.80 = 896.57/x
  3. Step 3: Cross multiply
    1,642.61x = 2,266.80 × 896.57
  4. Step 4: Simplify right side
    1,642.61x = 2,032,344.88
  5. Step 5: Solve for x
    x = 2,032,344.88/1,642.61
  6. Step 6: Final answer
    x = 1,237.27

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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.