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Finding the Fourth Proportional to 1,335.79, 2,000.75 and 1,102.04

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Solution

The fourth proportional to 1,335.79, 2,000.75 and 1,102.04 is: 1,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.79 : 2,000.75 = 1,102.04 : x
  2. Step 2: Convert to fraction form
    1,335.79/2,000.75 = 1,102.04/x
  3. Step 3: Cross multiply
    1,335.79x = 2,000.75 × 1,102.04
  4. Step 4: Simplify right side
    1,335.79x = 2,204,906.53
  5. Step 5: Solve for x
    x = 2,204,906.53/1,335.79
  6. Step 6: Final answer
    x = 1,650.64

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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.