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Finding the Fourth Proportional to 3,101.78, 4,652.63 and 910.43

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Solution

The fourth proportional to 3,101.78, 4,652.63 and 910.43 is: 1,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.78 : 4,652.63 = 910.43 : x
  2. Step 2: Convert to fraction form
    3,101.78/4,652.63 = 910.43/x
  3. Step 3: Cross multiply
    3,101.78x = 4,652.63 × 910.43
  4. Step 4: Simplify right side
    3,101.78x = 4,235,866.12
  5. Step 5: Solve for x
    x = 4,235,866.12/3,101.78
  6. Step 6: Final answer
    x = 1,365.63

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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.