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Finding the Fourth Proportional to 2,462.59, 3,399.62 and 1,901.80

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Solution

The fourth proportional to 2,462.59, 3,399.62 and 1,901.80 is: 2,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.59 : 3,399.62 = 1,901.80 : x
  2. Step 2: Convert to fraction form
    2,462.59/3,399.62 = 1,901.80/x
  3. Step 3: Cross multiply
    2,462.59x = 3,399.62 × 1,901.80
  4. Step 4: Simplify right side
    2,462.59x = 6,465,382.70
  5. Step 5: Solve for x
    x = 6,465,382.70/2,462.59
  6. Step 6: Final answer
    x = 2,625.45

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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.