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Finding the Fourth Proportional to 2,963.96, 4,440.18 and 2,843

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Solution

The fourth proportional to 2,963.96, 4,440.18 and 2,843 is: 4,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.96 : 4,440.18 = 2,843 : x
  2. Step 2: Convert to fraction form
    2,963.96/4,440.18 = 2,843/x
  3. Step 3: Cross multiply
    2,963.96x = 4,440.18 × 2,843
  4. Step 4: Simplify right side
    2,963.96x = 12,623,431.74
  5. Step 5: Solve for x
    x = 12,623,431.74/2,963.96
  6. Step 6: Final answer
    x = 4,258.98

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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.