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Finding the Fourth Proportional to 1,994.58, 2,974.30 and 1,856.07

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Solution

The fourth proportional to 1,994.58, 2,974.30 and 1,856.07 is: 2,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.58 : 2,974.30 = 1,856.07 : x
  2. Step 2: Convert to fraction form
    1,994.58/2,974.30 = 1,856.07/x
  3. Step 3: Cross multiply
    1,994.58x = 2,974.30 × 1,856.07
  4. Step 4: Simplify right side
    1,994.58x = 5,520,504.36
  5. Step 5: Solve for x
    x = 5,520,504.36/1,994.58
  6. Step 6: Final answer
    x = 2,767.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.