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Finding the Fourth Proportional to 2,911.09, 4,366.91 and 963.31

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Solution

The fourth proportional to 2,911.09, 4,366.91 and 963.31 is: 1,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.09 : 4,366.91 = 963.31 : x
  2. Step 2: Convert to fraction form
    2,911.09/4,366.91 = 963.31/x
  3. Step 3: Cross multiply
    2,911.09x = 4,366.91 × 963.31
  4. Step 4: Simplify right side
    2,911.09x = 4,206,688.07
  5. Step 5: Solve for x
    x = 4,206,688.07/2,911.09
  6. Step 6: Final answer
    x = 1,445.06

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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.