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Finding the Fourth Proportional to 1,764.33, 2,434.77 and 967.66

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Solution

The fourth proportional to 1,764.33, 2,434.77 and 967.66 is: 1,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.33 : 2,434.77 = 967.66 : x
  2. Step 2: Convert to fraction form
    1,764.33/2,434.77 = 967.66/x
  3. Step 3: Cross multiply
    1,764.33x = 2,434.77 × 967.66
  4. Step 4: Simplify right side
    1,764.33x = 2,356,029.54
  5. Step 5: Solve for x
    x = 2,356,029.54/1,764.33
  6. Step 6: Final answer
    x = 1,335.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.