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Finding the Fourth Proportional to 2,801.33, 4,202 and 1,260.53

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Solution

The fourth proportional to 2,801.33, 4,202 and 1,260.53 is: 1,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.33 : 4,202 = 1,260.53 : x
  2. Step 2: Convert to fraction form
    2,801.33/4,202 = 1,260.53/x
  3. Step 3: Cross multiply
    2,801.33x = 4,202 × 1,260.53
  4. Step 4: Simplify right side
    2,801.33x = 5,296,747.06
  5. Step 5: Solve for x
    x = 5,296,747.06/2,801.33
  6. Step 6: Final answer
    x = 1,890.80

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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.