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Finding the Fourth Proportional to 2,264.51, 3,122.64 and 1,791.64

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Solution

The fourth proportional to 2,264.51, 3,122.64 and 1,791.64 is: 2,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.51 : 3,122.64 = 1,791.64 : x
  2. Step 2: Convert to fraction form
    2,264.51/3,122.64 = 1,791.64/x
  3. Step 3: Cross multiply
    2,264.51x = 3,122.64 × 1,791.64
  4. Step 4: Simplify right side
    2,264.51x = 5,594,656.90
  5. Step 5: Solve for x
    x = 5,594,656.90/2,264.51
  6. Step 6: Final answer
    x = 2,470.59

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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.