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Finding the Fourth Proportional to 1,654.36, 2,471.12 and 1,241.32

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Solution

The fourth proportional to 1,654.36, 2,471.12 and 1,241.32 is: 1,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.36 : 2,471.12 = 1,241.32 : x
  2. Step 2: Convert to fraction form
    1,654.36/2,471.12 = 1,241.32/x
  3. Step 3: Cross multiply
    1,654.36x = 2,471.12 × 1,241.32
  4. Step 4: Simplify right side
    1,654.36x = 3,067,450.68
  5. Step 5: Solve for x
    x = 3,067,450.68/1,654.36
  6. Step 6: Final answer
    x = 1,854.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.