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Finding the Fourth Proportional to 2,977.88, 4,104.42 and 2,346.80

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Solution

The fourth proportional to 2,977.88, 4,104.42 and 2,346.80 is: 3,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.88 : 4,104.42 = 2,346.80 : x
  2. Step 2: Convert to fraction form
    2,977.88/4,104.42 = 2,346.80/x
  3. Step 3: Cross multiply
    2,977.88x = 4,104.42 × 2,346.80
  4. Step 4: Simplify right side
    2,977.88x = 9,632,252.86
  5. Step 5: Solve for x
    x = 9,632,252.86/2,977.88
  6. Step 6: Final answer
    x = 3,234.60

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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.