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Finding the Fourth Proportional to 1,651.11, 2,278.53 and 905.06

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Solution

The fourth proportional to 1,651.11, 2,278.53 and 905.06 is: 1,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.11 : 2,278.53 = 905.06 : x
  2. Step 2: Convert to fraction form
    1,651.11/2,278.53 = 905.06/x
  3. Step 3: Cross multiply
    1,651.11x = 2,278.53 × 905.06
  4. Step 4: Simplify right side
    1,651.11x = 2,062,194.97
  5. Step 5: Solve for x
    x = 2,062,194.97/1,651.11
  6. Step 6: Final answer
    x = 1,248.97

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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.