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Finding the Fourth Proportional to 2,812.83, 4,219.32 and 963.95

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Solution

The fourth proportional to 2,812.83, 4,219.32 and 963.95 is: 1,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.83 : 4,219.32 = 963.95 : x
  2. Step 2: Convert to fraction form
    2,812.83/4,219.32 = 963.95/x
  3. Step 3: Cross multiply
    2,812.83x = 4,219.32 × 963.95
  4. Step 4: Simplify right side
    2,812.83x = 4,067,192.42
  5. Step 5: Solve for x
    x = 4,067,192.42/2,812.83
  6. Step 6: Final answer
    x = 1,445.94

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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.