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Finding the Fourth Proportional to 2,262.78, 3,371.46 and 2,017.26

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Solution

The fourth proportional to 2,262.78, 3,371.46 and 2,017.26 is: 3,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.78 : 3,371.46 = 2,017.26 : x
  2. Step 2: Convert to fraction form
    2,262.78/3,371.46 = 2,017.26/x
  3. Step 3: Cross multiply
    2,262.78x = 3,371.46 × 2,017.26
  4. Step 4: Simplify right side
    2,262.78x = 6,801,111.40
  5. Step 5: Solve for x
    x = 6,801,111.40/2,262.78
  6. Step 6: Final answer
    x = 3,005.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.