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Finding the Fourth Proportional to 1,981.20, 2,736.36 and 1,866

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Solution

The fourth proportional to 1,981.20, 2,736.36 and 1,866 is: 2,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.20 : 2,736.36 = 1,866 : x
  2. Step 2: Convert to fraction form
    1,981.20/2,736.36 = 1,866/x
  3. Step 3: Cross multiply
    1,981.20x = 2,736.36 × 1,866
  4. Step 4: Simplify right side
    1,981.20x = 5,106,047.76
  5. Step 5: Solve for x
    x = 5,106,047.76/1,981.20
  6. Step 6: Final answer
    x = 2,577.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.