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Finding the Fourth Proportional to 2,451.34, 3,677.22 and 2,118.94

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Solution

The fourth proportional to 2,451.34, 3,677.22 and 2,118.94 is: 3,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.34 : 3,677.22 = 2,118.94 : x
  2. Step 2: Convert to fraction form
    2,451.34/3,677.22 = 2,118.94/x
  3. Step 3: Cross multiply
    2,451.34x = 3,677.22 × 2,118.94
  4. Step 4: Simplify right side
    2,451.34x = 7,791,808.55
  5. Step 5: Solve for x
    x = 7,791,808.55/2,451.34
  6. Step 6: Final answer
    x = 3,178.59

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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.