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Finding the Fourth Proportional to 2,071.03, 3,102.38 and 958.88

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Solution

The fourth proportional to 2,071.03, 3,102.38 and 958.88 is: 1,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.03 : 3,102.38 = 958.88 : x
  2. Step 2: Convert to fraction form
    2,071.03/3,102.38 = 958.88/x
  3. Step 3: Cross multiply
    2,071.03x = 3,102.38 × 958.88
  4. Step 4: Simplify right side
    2,071.03x = 2,974,810.13
  5. Step 5: Solve for x
    x = 2,974,810.13/2,071.03
  6. Step 6: Final answer
    x = 1,436.39

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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.