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Finding the Fourth Proportional to 2,697.23, 3,722.87 and 2,416.98

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Solution

The fourth proportional to 2,697.23, 3,722.87 and 2,416.98 is: 3,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.23 : 3,722.87 = 2,416.98 : x
  2. Step 2: Convert to fraction form
    2,697.23/3,722.87 = 2,416.98/x
  3. Step 3: Cross multiply
    2,697.23x = 3,722.87 × 2,416.98
  4. Step 4: Simplify right side
    2,697.23x = 8,998,117.68
  5. Step 5: Solve for x
    x = 8,998,117.68/2,697.23
  6. Step 6: Final answer
    x = 3,336.06

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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.