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Finding the Fourth Proportional to 1,959.80, 2,939.70 and 1,527.28

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Solution

The fourth proportional to 1,959.80, 2,939.70 and 1,527.28 is: 2,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.80 : 2,939.70 = 1,527.28 : x
  2. Step 2: Convert to fraction form
    1,959.80/2,939.70 = 1,527.28/x
  3. Step 3: Cross multiply
    1,959.80x = 2,939.70 × 1,527.28
  4. Step 4: Simplify right side
    1,959.80x = 4,489,745.02
  5. Step 5: Solve for x
    x = 4,489,745.02/1,959.80
  6. Step 6: Final answer
    x = 2,290.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.