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Finding the Fourth Proportional to 1,764.33, 2,434.67 and 967.50

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Solution

The fourth proportional to 1,764.33, 2,434.67 and 967.50 is: 1,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.33 : 2,434.67 = 967.50 : x
  2. Step 2: Convert to fraction form
    1,764.33/2,434.67 = 967.50/x
  3. Step 3: Cross multiply
    1,764.33x = 2,434.67 × 967.50
  4. Step 4: Simplify right side
    1,764.33x = 2,355,542.02
  5. Step 5: Solve for x
    x = 2,355,542.02/1,764.33
  6. Step 6: Final answer
    x = 1,335.09

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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.