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Finding the Fourth Proportional to 3,114.41, 4,297.88 and 1,994.99

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Solution

The fourth proportional to 3,114.41, 4,297.88 and 1,994.99 is: 2,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.41 : 4,297.88 = 1,994.99 : x
  2. Step 2: Convert to fraction form
    3,114.41/4,297.88 = 1,994.99/x
  3. Step 3: Cross multiply
    3,114.41x = 4,297.88 × 1,994.99
  4. Step 4: Simplify right side
    3,114.41x = 8,574,217.65
  5. Step 5: Solve for x
    x = 8,574,217.65/3,114.41
  6. Step 6: Final answer
    x = 2,753.08

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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.