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Finding the Fourth Proportional to 2,551.50, 3,521.07 and 1,964.66

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Solution

The fourth proportional to 2,551.50, 3,521.07 and 1,964.66 is: 2,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.50 : 3,521.07 = 1,964.66 : x
  2. Step 2: Convert to fraction form
    2,551.50/3,521.07 = 1,964.66/x
  3. Step 3: Cross multiply
    2,551.50x = 3,521.07 × 1,964.66
  4. Step 4: Simplify right side
    2,551.50x = 6,917,687.78
  5. Step 5: Solve for x
    x = 6,917,687.78/2,551.50
  6. Step 6: Final answer
    x = 2,711.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.