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Finding the Fourth Proportional to 2,431.98, 3,648.24 and 788.22

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Solution

The fourth proportional to 2,431.98, 3,648.24 and 788.22 is: 1,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.98 : 3,648.24 = 788.22 : x
  2. Step 2: Convert to fraction form
    2,431.98/3,648.24 = 788.22/x
  3. Step 3: Cross multiply
    2,431.98x = 3,648.24 × 788.22
  4. Step 4: Simplify right side
    2,431.98x = 2,875,615.73
  5. Step 5: Solve for x
    x = 2,875,615.73/2,431.98
  6. Step 6: Final answer
    x = 1,182.42

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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.