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Finding the Fourth Proportional to 2,352.47, 3,239.01 and 1,997.69

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Solution

The fourth proportional to 2,352.47, 3,239.01 and 1,997.69 is: 2,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.47 : 3,239.01 = 1,997.69 : x
  2. Step 2: Convert to fraction form
    2,352.47/3,239.01 = 1,997.69/x
  3. Step 3: Cross multiply
    2,352.47x = 3,239.01 × 1,997.69
  4. Step 4: Simplify right side
    2,352.47x = 6,470,537.89
  5. Step 5: Solve for x
    x = 6,470,537.89/2,352.47
  6. Step 6: Final answer
    x = 2,750.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.