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Finding the Fourth Proportional to 2,817.92, 3,887.09 and 1,698.15

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Solution

The fourth proportional to 2,817.92, 3,887.09 and 1,698.15 is: 2,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.92 : 3,887.09 = 1,698.15 : x
  2. Step 2: Convert to fraction form
    2,817.92/3,887.09 = 1,698.15/x
  3. Step 3: Cross multiply
    2,817.92x = 3,887.09 × 1,698.15
  4. Step 4: Simplify right side
    2,817.92x = 6,600,853.39
  5. Step 5: Solve for x
    x = 6,600,853.39/2,817.92
  6. Step 6: Final answer
    x = 2,342.45

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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.