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Finding the Fourth Proportional to 1,568.30, 2,353.96 and 838.38

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Solution

The fourth proportional to 1,568.30, 2,353.96 and 838.38 is: 1,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.30 : 2,353.96 = 838.38 : x
  2. Step 2: Convert to fraction form
    1,568.30/2,353.96 = 838.38/x
  3. Step 3: Cross multiply
    1,568.30x = 2,353.96 × 838.38
  4. Step 4: Simplify right side
    1,568.30x = 1,973,522.86
  5. Step 5: Solve for x
    x = 1,973,522.86/1,568.30
  6. Step 6: Final answer
    x = 1,258.39

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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.