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Finding the Fourth Proportional to 1,520.41, 2,096.76 and 959.91

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Solution

The fourth proportional to 1,520.41, 2,096.76 and 959.91 is: 1,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.41 : 2,096.76 = 959.91 : x
  2. Step 2: Convert to fraction form
    1,520.41/2,096.76 = 959.91/x
  3. Step 3: Cross multiply
    1,520.41x = 2,096.76 × 959.91
  4. Step 4: Simplify right side
    1,520.41x = 2,012,690.41
  5. Step 5: Solve for x
    x = 2,012,690.41/1,520.41
  6. Step 6: Final answer
    x = 1,323.79

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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.