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Finding the Fourth Proportional to 1,981.10, 2,971.56 and 940.34

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Solution

The fourth proportional to 1,981.10, 2,971.56 and 940.34 is: 1,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.10 : 2,971.56 = 940.34 : x
  2. Step 2: Convert to fraction form
    1,981.10/2,971.56 = 940.34/x
  3. Step 3: Cross multiply
    1,981.10x = 2,971.56 × 940.34
  4. Step 4: Simplify right side
    1,981.10x = 2,794,276.73
  5. Step 5: Solve for x
    x = 2,794,276.73/1,981.10
  6. Step 6: Final answer
    x = 1,410.47

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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.