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Finding the Fourth Proportional to 2,343.72, 3,511.80 and 2,017.56

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Solution

The fourth proportional to 2,343.72, 3,511.80 and 2,017.56 is: 3,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.72 : 3,511.80 = 2,017.56 : x
  2. Step 2: Convert to fraction form
    2,343.72/3,511.80 = 2,017.56/x
  3. Step 3: Cross multiply
    2,343.72x = 3,511.80 × 2,017.56
  4. Step 4: Simplify right side
    2,343.72x = 7,085,267.21
  5. Step 5: Solve for x
    x = 7,085,267.21/2,343.72
  6. Step 6: Final answer
    x = 3,023.09

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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.