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Finding the Fourth Proportional to 2,394.46, 3,593.49 and 1,096.84

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Solution

The fourth proportional to 2,394.46, 3,593.49 and 1,096.84 is: 1,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.46 : 3,593.49 = 1,096.84 : x
  2. Step 2: Convert to fraction form
    2,394.46/3,593.49 = 1,096.84/x
  3. Step 3: Cross multiply
    2,394.46x = 3,593.49 × 1,096.84
  4. Step 4: Simplify right side
    2,394.46x = 3,941,483.57
  5. Step 5: Solve for x
    x = 3,941,483.57/2,394.46
  6. Step 6: Final answer
    x = 1,646.08

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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.