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Finding the Fourth Proportional to 2,071.70, 3,105.15 and 838.30

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Solution

The fourth proportional to 2,071.70, 3,105.15 and 838.30 is: 1,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.70 : 3,105.15 = 838.30 : x
  2. Step 2: Convert to fraction form
    2,071.70/3,105.15 = 838.30/x
  3. Step 3: Cross multiply
    2,071.70x = 3,105.15 × 838.30
  4. Step 4: Simplify right side
    2,071.70x = 2,603,047.25
  5. Step 5: Solve for x
    x = 2,603,047.25/2,071.70
  6. Step 6: Final answer
    x = 1,256.48

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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.