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Finding the Fourth Proportional to 2,801.65, 4,202.82 and 1,241.67

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Solution

The fourth proportional to 2,801.65, 4,202.82 and 1,241.67 is: 1,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.65 : 4,202.82 = 1,241.67 : x
  2. Step 2: Convert to fraction form
    2,801.65/4,202.82 = 1,241.67/x
  3. Step 3: Cross multiply
    2,801.65x = 4,202.82 × 1,241.67
  4. Step 4: Simplify right side
    2,801.65x = 5,218,515.51
  5. Step 5: Solve for x
    x = 5,218,515.51/2,801.65
  6. Step 6: Final answer
    x = 1,862.66

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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.