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Finding the Fourth Proportional to 2,857.50, 4,282.61 and 1,625.49

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Solution

The fourth proportional to 2,857.50, 4,282.61 and 1,625.49 is: 2,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.50 : 4,282.61 = 1,625.49 : x
  2. Step 2: Convert to fraction form
    2,857.50/4,282.61 = 1,625.49/x
  3. Step 3: Cross multiply
    2,857.50x = 4,282.61 × 1,625.49
  4. Step 4: Simplify right side
    2,857.50x = 6,961,331.60
  5. Step 5: Solve for x
    x = 6,961,331.60/2,857.50
  6. Step 6: Final answer
    x = 2,436.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.