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Finding the Fourth Proportional to 2,440.86, 3,660.69 and 960.06

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Solution

The fourth proportional to 2,440.86, 3,660.69 and 960.06 is: 1,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.86 : 3,660.69 = 960.06 : x
  2. Step 2: Convert to fraction form
    2,440.86/3,660.69 = 960.06/x
  3. Step 3: Cross multiply
    2,440.86x = 3,660.69 × 960.06
  4. Step 4: Simplify right side
    2,440.86x = 3,514,482.04
  5. Step 5: Solve for x
    x = 3,514,482.04/2,440.86
  6. Step 6: Final answer
    x = 1,439.85

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