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Finding the Fourth Proportional to 1,591.02, 2,194.16 and 992.75

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Solution

The fourth proportional to 1,591.02, 2,194.16 and 992.75 is: 1,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.02 : 2,194.16 = 992.75 : x
  2. Step 2: Convert to fraction form
    1,591.02/2,194.16 = 992.75/x
  3. Step 3: Cross multiply
    1,591.02x = 2,194.16 × 992.75
  4. Step 4: Simplify right side
    1,591.02x = 2,178,236.41
  5. Step 5: Solve for x
    x = 2,178,236.41/1,591.02
  6. Step 6: Final answer
    x = 1,369.08

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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.