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Finding the Fourth Proportional to 1,975.29, 2,725.86 and 1,091.11

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Solution

The fourth proportional to 1,975.29, 2,725.86 and 1,091.11 is: 1,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.29 : 2,725.86 = 1,091.11 : x
  2. Step 2: Convert to fraction form
    1,975.29/2,725.86 = 1,091.11/x
  3. Step 3: Cross multiply
    1,975.29x = 2,725.86 × 1,091.11
  4. Step 4: Simplify right side
    1,975.29x = 2,974,210.38
  5. Step 5: Solve for x
    x = 2,974,210.38/1,975.29
  6. Step 6: Final answer
    x = 1,505.71

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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.