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Finding the Fourth Proportional to 2,788.98, 4,184.11 and 940.05

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Solution

The fourth proportional to 2,788.98, 4,184.11 and 940.05 is: 1,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.98 : 4,184.11 = 940.05 : x
  2. Step 2: Convert to fraction form
    2,788.98/4,184.11 = 940.05/x
  3. Step 3: Cross multiply
    2,788.98x = 4,184.11 × 940.05
  4. Step 4: Simplify right side
    2,788.98x = 3,933,272.61
  5. Step 5: Solve for x
    x = 3,933,272.61/2,788.98
  6. Step 6: Final answer
    x = 1,410.29

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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.