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Finding the Fourth Proportional to 2,859.99, 3,947.55 and 1,681.85

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Solution

The fourth proportional to 2,859.99, 3,947.55 and 1,681.85 is: 2,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.99 : 3,947.55 = 1,681.85 : x
  2. Step 2: Convert to fraction form
    2,859.99/3,947.55 = 1,681.85/x
  3. Step 3: Cross multiply
    2,859.99x = 3,947.55 × 1,681.85
  4. Step 4: Simplify right side
    2,859.99x = 6,639,167.23
  5. Step 5: Solve for x
    x = 6,639,167.23/2,859.99
  6. Step 6: Final answer
    x = 2,321.40

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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.