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Finding the Fourth Proportional to 2,693.01, 3,714.75 and 1,643.25

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Solution

The fourth proportional to 2,693.01, 3,714.75 and 1,643.25 is: 2,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.01 : 3,714.75 = 1,643.25 : x
  2. Step 2: Convert to fraction form
    2,693.01/3,714.75 = 1,643.25/x
  3. Step 3: Cross multiply
    2,693.01x = 3,714.75 × 1,643.25
  4. Step 4: Simplify right side
    2,693.01x = 6,104,262.94
  5. Step 5: Solve for x
    x = 6,104,262.94/2,693.01
  6. Step 6: Final answer
    x = 2,266.71

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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.