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Finding the Fourth Proportional to 2,377.34, 3,558.24 and 2,149.98

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Solution

The fourth proportional to 2,377.34, 3,558.24 and 2,149.98 is: 3,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.34 : 3,558.24 = 2,149.98 : x
  2. Step 2: Convert to fraction form
    2,377.34/3,558.24 = 2,149.98/x
  3. Step 3: Cross multiply
    2,377.34x = 3,558.24 × 2,149.98
  4. Step 4: Simplify right side
    2,377.34x = 7,650,144.84
  5. Step 5: Solve for x
    x = 7,650,144.84/2,377.34
  6. Step 6: Final answer
    x = 3,217.94

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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.