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Finding the Fourth Proportional to 1,711.93, 2,347.06 and 1,680.79

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Solution

The fourth proportional to 1,711.93, 2,347.06 and 1,680.79 is: 2,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.93 : 2,347.06 = 1,680.79 : x
  2. Step 2: Convert to fraction form
    1,711.93/2,347.06 = 1,680.79/x
  3. Step 3: Cross multiply
    1,711.93x = 2,347.06 × 1,680.79
  4. Step 4: Simplify right side
    1,711.93x = 3,944,914.98
  5. Step 5: Solve for x
    x = 3,944,914.98/1,711.93
  6. Step 6: Final answer
    x = 2,304.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.