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Finding the Fourth Proportional to 2,484.93, 3,728.31 and 1,023.27

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Solution

The fourth proportional to 2,484.93, 3,728.31 and 1,023.27 is: 1,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.93 : 3,728.31 = 1,023.27 : x
  2. Step 2: Convert to fraction form
    2,484.93/3,728.31 = 1,023.27/x
  3. Step 3: Cross multiply
    2,484.93x = 3,728.31 × 1,023.27
  4. Step 4: Simplify right side
    2,484.93x = 3,815,067.77
  5. Step 5: Solve for x
    x = 3,815,067.77/2,484.93
  6. Step 6: Final answer
    x = 1,535.28

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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.