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Finding the Fourth Proportional to 2,697.66, 3,722.58 and 2,416.95

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Solution

The fourth proportional to 2,697.66, 3,722.58 and 2,416.95 is: 3,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.66 : 3,722.58 = 2,416.95 : x
  2. Step 2: Convert to fraction form
    2,697.66/3,722.58 = 2,416.95/x
  3. Step 3: Cross multiply
    2,697.66x = 3,722.58 × 2,416.95
  4. Step 4: Simplify right side
    2,697.66x = 8,997,289.73
  5. Step 5: Solve for x
    x = 8,997,289.73/2,697.66
  6. Step 6: Final answer
    x = 3,335.22

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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.