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Finding the Fourth Proportional to 2,801.48, 4,202.85 and 853.88

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Solution

The fourth proportional to 2,801.48, 4,202.85 and 853.88 is: 1,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.48 : 4,202.85 = 853.88 : x
  2. Step 2: Convert to fraction form
    2,801.48/4,202.85 = 853.88/x
  3. Step 3: Cross multiply
    2,801.48x = 4,202.85 × 853.88
  4. Step 4: Simplify right side
    2,801.48x = 3,588,729.56
  5. Step 5: Solve for x
    x = 3,588,729.56/2,801.48
  6. Step 6: Final answer
    x = 1,281.01

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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.