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Finding the Fourth Proportional to 4,294.36, 6,436.62 and 1,981

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Solution

The fourth proportional to 4,294.36, 6,436.62 and 1,981 is: 2,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.36 : 6,436.62 = 1,981 : x
  2. Step 2: Convert to fraction form
    4,294.36/6,436.62 = 1,981/x
  3. Step 3: Cross multiply
    4,294.36x = 6,436.62 × 1,981
  4. Step 4: Simplify right side
    4,294.36x = 12,750,944.22
  5. Step 5: Solve for x
    x = 12,750,944.22/4,294.36
  6. Step 6: Final answer
    x = 2,969.23

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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.