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Finding the Fourth Proportional to 1,335.22, 1,993.96 and 1,320.74

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Solution

The fourth proportional to 1,335.22, 1,993.96 and 1,320.74 is: 1,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.22 : 1,993.96 = 1,320.74 : x
  2. Step 2: Convert to fraction form
    1,335.22/1,993.96 = 1,320.74/x
  3. Step 3: Cross multiply
    1,335.22x = 1,993.96 × 1,320.74
  4. Step 4: Simplify right side
    1,335.22x = 2,633,502.73
  5. Step 5: Solve for x
    x = 2,633,502.73/1,335.22
  6. Step 6: Final answer
    x = 1,972.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.