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Finding the Fourth Proportional to 2,102.67, 2,896.22 and 1,600.47

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Solution

The fourth proportional to 2,102.67, 2,896.22 and 1,600.47 is: 2,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.67 : 2,896.22 = 1,600.47 : x
  2. Step 2: Convert to fraction form
    2,102.67/2,896.22 = 1,600.47/x
  3. Step 3: Cross multiply
    2,102.67x = 2,896.22 × 1,600.47
  4. Step 4: Simplify right side
    2,102.67x = 4,635,305.22
  5. Step 5: Solve for x
    x = 4,635,305.22/2,102.67
  6. Step 6: Final answer
    x = 2,204.49

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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.