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Finding the Fourth Proportional to 2,071.41, 3,107.75 and 838.59

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Solution

The fourth proportional to 2,071.41, 3,107.75 and 838.59 is: 1,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.41 : 3,107.75 = 838.59 : x
  2. Step 2: Convert to fraction form
    2,071.41/3,107.75 = 838.59/x
  3. Step 3: Cross multiply
    2,071.41x = 3,107.75 × 838.59
  4. Step 4: Simplify right side
    2,071.41x = 2,606,123.88
  5. Step 5: Solve for x
    x = 2,606,123.88/2,071.41
  6. Step 6: Final answer
    x = 1,258.14

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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.