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Finding the Fourth Proportional to 1,975.69, 2,726.49 and 1,091.50

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Solution

The fourth proportional to 1,975.69, 2,726.49 and 1,091.50 is: 1,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.69 : 2,726.49 = 1,091.50 : x
  2. Step 2: Convert to fraction form
    1,975.69/2,726.49 = 1,091.50/x
  3. Step 3: Cross multiply
    1,975.69x = 2,726.49 × 1,091.50
  4. Step 4: Simplify right side
    1,975.69x = 2,975,959.57
  5. Step 5: Solve for x
    x = 2,975,959.57/1,975.69
  6. Step 6: Final answer
    x = 1,506.29

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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.