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Finding the Fourth Proportional to 3,089.60, 4,633.20 and 1,799

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Solution

The fourth proportional to 3,089.60, 4,633.20 and 1,799 is: 2,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.60 : 4,633.20 = 1,799 : x
  2. Step 2: Convert to fraction form
    3,089.60/4,633.20 = 1,799/x
  3. Step 3: Cross multiply
    3,089.60x = 4,633.20 × 1,799
  4. Step 4: Simplify right side
    3,089.60x = 8,335,126.80
  5. Step 5: Solve for x
    x = 8,335,126.80/3,089.60
  6. Step 6: Final answer
    x = 2,697.80

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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.