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Finding the Fourth Proportional to 2,353.78, 3,528.54 and 1,119.94

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Solution

The fourth proportional to 2,353.78, 3,528.54 and 1,119.94 is: 1,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.78 : 3,528.54 = 1,119.94 : x
  2. Step 2: Convert to fraction form
    2,353.78/3,528.54 = 1,119.94/x
  3. Step 3: Cross multiply
    2,353.78x = 3,528.54 × 1,119.94
  4. Step 4: Simplify right side
    2,353.78x = 3,951,753.09
  5. Step 5: Solve for x
    x = 3,951,753.09/2,353.78
  6. Step 6: Final answer
    x = 1,678.90

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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.