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Finding the Fourth Proportional to 2,348.64, 3,521.84 and 960.82

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Solution

The fourth proportional to 2,348.64, 3,521.84 and 960.82 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.64 : 3,521.84 = 960.82 : x
  2. Step 2: Convert to fraction form
    2,348.64/3,521.84 = 960.82/x
  3. Step 3: Cross multiply
    2,348.64x = 3,521.84 × 960.82
  4. Step 4: Simplify right side
    2,348.64x = 3,383,840.70
  5. Step 5: Solve for x
    x = 3,383,840.70/2,348.64
  6. Step 6: Final answer
    x = 1,440.77

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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.