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Finding the Fourth Proportional to 2,064.97, 2,850.12 and 1,615.95

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Solution

The fourth proportional to 2,064.97, 2,850.12 and 1,615.95 is: 2,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.97 : 2,850.12 = 1,615.95 : x
  2. Step 2: Convert to fraction form
    2,064.97/2,850.12 = 1,615.95/x
  3. Step 3: Cross multiply
    2,064.97x = 2,850.12 × 1,615.95
  4. Step 4: Simplify right side
    2,064.97x = 4,605,651.41
  5. Step 5: Solve for x
    x = 4,605,651.41/2,064.97
  6. Step 6: Final answer
    x = 2,230.37

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1.5x scale

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.