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Finding the Fourth Proportional to 3,107.78, 4,288.77 and 1,691.48

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Solution

The fourth proportional to 3,107.78, 4,288.77 and 1,691.48 is: 2,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.78 : 4,288.77 = 1,691.48 : x
  2. Step 2: Convert to fraction form
    3,107.78/4,288.77 = 1,691.48/x
  3. Step 3: Cross multiply
    3,107.78x = 4,288.77 × 1,691.48
  4. Step 4: Simplify right side
    3,107.78x = 7,254,347.24
  5. Step 5: Solve for x
    x = 7,254,347.24/3,107.78
  6. Step 6: Final answer
    x = 2,334.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.