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Finding the Fourth Proportional to 1,991.09, 2,747.58 and 1,106.86

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Solution

The fourth proportional to 1,991.09, 2,747.58 and 1,106.86 is: 1,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.09 : 2,747.58 = 1,106.86 : x
  2. Step 2: Convert to fraction form
    1,991.09/2,747.58 = 1,106.86/x
  3. Step 3: Cross multiply
    1,991.09x = 2,747.58 × 1,106.86
  4. Step 4: Simplify right side
    1,991.09x = 3,041,186.40
  5. Step 5: Solve for x
    x = 3,041,186.40/1,991.09
  6. Step 6: Final answer
    x = 1,527.40

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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.