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Finding the Fourth Proportional to 2,234.01, 3,083.61 and 1,646.25

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Solution

The fourth proportional to 2,234.01, 3,083.61 and 1,646.25 is: 2,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.01 : 3,083.61 = 1,646.25 : x
  2. Step 2: Convert to fraction form
    2,234.01/3,083.61 = 1,646.25/x
  3. Step 3: Cross multiply
    2,234.01x = 3,083.61 × 1,646.25
  4. Step 4: Simplify right side
    2,234.01x = 5,076,392.96
  5. Step 5: Solve for x
    x = 5,076,392.96/2,234.01
  6. Step 6: Final answer
    x = 2,272.32

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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.