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Finding the Fourth Proportional to 1,991.12, 2,747.75 and 1,106.93

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Solution

The fourth proportional to 1,991.12, 2,747.75 and 1,106.93 is: 1,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.12 : 2,747.75 = 1,106.93 : x
  2. Step 2: Convert to fraction form
    1,991.12/2,747.75 = 1,106.93/x
  3. Step 3: Cross multiply
    1,991.12x = 2,747.75 × 1,106.93
  4. Step 4: Simplify right side
    1,991.12x = 3,041,547.63
  5. Step 5: Solve for x
    x = 3,041,547.63/1,991.12
  6. Step 6: Final answer
    x = 1,527.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.