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Finding the Fourth Proportional to 2,116.25, 3,174.51 and 577.25

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Solution

The fourth proportional to 2,116.25, 3,174.51 and 577.25 is: 865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.25 : 3,174.51 = 577.25 : x
  2. Step 2: Convert to fraction form
    2,116.25/3,174.51 = 577.25/x
  3. Step 3: Cross multiply
    2,116.25x = 3,174.51 × 577.25
  4. Step 4: Simplify right side
    2,116.25x = 1,832,485.90
  5. Step 5: Solve for x
    x = 1,832,485.90/2,116.25
  6. Step 6: Final answer
    x = 865.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.