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Finding the Fourth Proportional to 1,568.70, 2,354.10 and 838.80

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Solution

The fourth proportional to 1,568.70, 2,354.10 and 838.80 is: 1,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.70 : 2,354.10 = 838.80 : x
  2. Step 2: Convert to fraction form
    1,568.70/2,354.10 = 838.80/x
  3. Step 3: Cross multiply
    1,568.70x = 2,354.10 × 838.80
  4. Step 4: Simplify right side
    1,568.70x = 1,974,619.08
  5. Step 5: Solve for x
    x = 1,974,619.08/1,568.70
  6. Step 6: Final answer
    x = 1,258.76

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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.