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Finding the Fourth Proportional to 1,924.90, 2,885.28 and 829.78

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Solution

The fourth proportional to 1,924.90, 2,885.28 and 829.78 is: 1,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.90 : 2,885.28 = 829.78 : x
  2. Step 2: Convert to fraction form
    1,924.90/2,885.28 = 829.78/x
  3. Step 3: Cross multiply
    1,924.90x = 2,885.28 × 829.78
  4. Step 4: Simplify right side
    1,924.90x = 2,394,147.64
  5. Step 5: Solve for x
    x = 2,394,147.64/1,924.90
  6. Step 6: Final answer
    x = 1,243.78

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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.