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Finding the Fourth Proportional to 2,114.06, 3,169.47 and 959

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Solution

The fourth proportional to 2,114.06, 3,169.47 and 959 is: 1,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.06 : 3,169.47 = 959 : x
  2. Step 2: Convert to fraction form
    2,114.06/3,169.47 = 959/x
  3. Step 3: Cross multiply
    2,114.06x = 3,169.47 × 959
  4. Step 4: Simplify right side
    2,114.06x = 3,039,521.73
  5. Step 5: Solve for x
    x = 3,039,521.73/2,114.06
  6. Step 6: Final answer
    x = 1,437.77

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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.