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Finding the Fourth Proportional to 1,994.28, 2,991.54 and 840.12

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Solution

The fourth proportional to 1,994.28, 2,991.54 and 840.12 is: 1,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.28 : 2,991.54 = 840.12 : x
  2. Step 2: Convert to fraction form
    1,994.28/2,991.54 = 840.12/x
  3. Step 3: Cross multiply
    1,994.28x = 2,991.54 × 840.12
  4. Step 4: Simplify right side
    1,994.28x = 2,513,252.58
  5. Step 5: Solve for x
    x = 2,513,252.58/1,994.28
  6. Step 6: Final answer
    x = 1,260.23

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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.