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Finding the Fourth Proportional to 2,690.57, 4,036.26 and 959.06

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Solution

The fourth proportional to 2,690.57, 4,036.26 and 959.06 is: 1,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.57 : 4,036.26 = 959.06 : x
  2. Step 2: Convert to fraction form
    2,690.57/4,036.26 = 959.06/x
  3. Step 3: Cross multiply
    2,690.57x = 4,036.26 × 959.06
  4. Step 4: Simplify right side
    2,690.57x = 3,871,029.20
  5. Step 5: Solve for x
    x = 3,871,029.20/2,690.57
  6. Step 6: Final answer
    x = 1,438.74

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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.