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Finding the Fourth Proportional to 2,726, 3,761.96 and 1,484.08

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Solution

The fourth proportional to 2,726, 3,761.96 and 1,484.08 is: 2,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726 : 3,761.96 = 1,484.08 : x
  2. Step 2: Convert to fraction form
    2,726/3,761.96 = 1,484.08/x
  3. Step 3: Cross multiply
    2,726x = 3,761.96 × 1,484.08
  4. Step 4: Simplify right side
    2,726x = 5,583,049.60
  5. Step 5: Solve for x
    x = 5,583,049.60/2,726
  6. Step 6: Final answer
    x = 2,048.07

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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.