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Finding the Fourth Proportional to 2,801.66, 4,202.20 and 1,241.69

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Solution

The fourth proportional to 2,801.66, 4,202.20 and 1,241.69 is: 1,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.66 : 4,202.20 = 1,241.69 : x
  2. Step 2: Convert to fraction form
    2,801.66/4,202.20 = 1,241.69/x
  3. Step 3: Cross multiply
    2,801.66x = 4,202.20 × 1,241.69
  4. Step 4: Simplify right side
    2,801.66x = 5,217,823.51
  5. Step 5: Solve for x
    x = 5,217,823.51/2,801.66
  6. Step 6: Final answer
    x = 1,862.40

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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.