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Finding the Fourth Proportional to 2,924.01, 4,385.88 and 844.02

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Solution

The fourth proportional to 2,924.01, 4,385.88 and 844.02 is: 1,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.01 : 4,385.88 = 844.02 : x
  2. Step 2: Convert to fraction form
    2,924.01/4,385.88 = 844.02/x
  3. Step 3: Cross multiply
    2,924.01x = 4,385.88 × 844.02
  4. Step 4: Simplify right side
    2,924.01x = 3,701,770.44
  5. Step 5: Solve for x
    x = 3,701,770.44/2,924.01
  6. Step 6: Final answer
    x = 1,265.99

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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.