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Finding the Fourth Proportional to 1,921.04, 2,883.54 and 1,100.06

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Solution

The fourth proportional to 1,921.04, 2,883.54 and 1,100.06 is: 1,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.04 : 2,883.54 = 1,100.06 : x
  2. Step 2: Convert to fraction form
    1,921.04/2,883.54 = 1,100.06/x
  3. Step 3: Cross multiply
    1,921.04x = 2,883.54 × 1,100.06
  4. Step 4: Simplify right side
    1,921.04x = 3,172,067.01
  5. Step 5: Solve for x
    x = 3,172,067.01/1,921.04
  6. Step 6: Final answer
    x = 1,651.22

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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.