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Finding the Fourth Proportional to 2,328.98, 3,213.97 and 1,266.73

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Solution

The fourth proportional to 2,328.98, 3,213.97 and 1,266.73 is: 1,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.98 : 3,213.97 = 1,266.73 : x
  2. Step 2: Convert to fraction form
    2,328.98/3,213.97 = 1,266.73/x
  3. Step 3: Cross multiply
    2,328.98x = 3,213.97 × 1,266.73
  4. Step 4: Simplify right side
    2,328.98x = 4,071,221.02
  5. Step 5: Solve for x
    x = 4,071,221.02/2,328.98
  6. Step 6: Final answer
    x = 1,748.07

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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.