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Finding the Fourth Proportional to 1,642, 2,265.96 and 906

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Solution

The fourth proportional to 1,642, 2,265.96 and 906 is: 1,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642 : 2,265.96 = 906 : x
  2. Step 2: Convert to fraction form
    1,642/2,265.96 = 906/x
  3. Step 3: Cross multiply
    1,642x = 2,265.96 × 906
  4. Step 4: Simplify right side
    1,642x = 2,052,959.76
  5. Step 5: Solve for x
    x = 2,052,959.76/1,642
  6. Step 6: Final answer
    x = 1,250.28

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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.