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Finding the Fourth Proportional to 1,335.40, 1,997.78 and 1,154.76

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Solution

The fourth proportional to 1,335.40, 1,997.78 and 1,154.76 is: 1,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.40 : 1,997.78 = 1,154.76 : x
  2. Step 2: Convert to fraction form
    1,335.40/1,997.78 = 1,154.76/x
  3. Step 3: Cross multiply
    1,335.40x = 1,997.78 × 1,154.76
  4. Step 4: Simplify right side
    1,335.40x = 2,306,956.43
  5. Step 5: Solve for x
    x = 2,306,956.43/1,335.40
  6. Step 6: Final answer
    x = 1,727.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.