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Finding the Fourth Proportional to 1,664.25, 2,296.86 and 1,001.43

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Solution

The fourth proportional to 1,664.25, 2,296.86 and 1,001.43 is: 1,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.25 : 2,296.86 = 1,001.43 : x
  2. Step 2: Convert to fraction form
    1,664.25/2,296.86 = 1,001.43/x
  3. Step 3: Cross multiply
    1,664.25x = 2,296.86 × 1,001.43
  4. Step 4: Simplify right side
    1,664.25x = 2,300,144.51
  5. Step 5: Solve for x
    x = 2,300,144.51/1,664.25
  6. Step 6: Final answer
    x = 1,382.09

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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.