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Finding the Fourth Proportional to 1,568.24, 2,353.74 and 838.40

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Solution

The fourth proportional to 1,568.24, 2,353.74 and 838.40 is: 1,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.24 : 2,353.74 = 838.40 : x
  2. Step 2: Convert to fraction form
    1,568.24/2,353.74 = 838.40/x
  3. Step 3: Cross multiply
    1,568.24x = 2,353.74 × 838.40
  4. Step 4: Simplify right side
    1,568.24x = 1,973,375.62
  5. Step 5: Solve for x
    x = 1,973,375.62/1,568.24
  6. Step 6: Final answer
    x = 1,258.34

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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.