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Finding the Fourth Proportional to 2,735.73, 4,102.02 and 1,346.04

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Solution

The fourth proportional to 2,735.73, 4,102.02 and 1,346.04 is: 2,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.73 : 4,102.02 = 1,346.04 : x
  2. Step 2: Convert to fraction form
    2,735.73/4,102.02 = 1,346.04/x
  3. Step 3: Cross multiply
    2,735.73x = 4,102.02 × 1,346.04
  4. Step 4: Simplify right side
    2,735.73x = 5,521,483.00
  5. Step 5: Solve for x
    x = 5,521,483.00/2,735.73
  6. Step 6: Final answer
    x = 2,018.29

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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.