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Finding the Fourth Proportional to 2,650.11, 3,657.11 and 1,471.14

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Solution

The fourth proportional to 2,650.11, 3,657.11 and 1,471.14 is: 2,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.11 : 3,657.11 = 1,471.14 : x
  2. Step 2: Convert to fraction form
    2,650.11/3,657.11 = 1,471.14/x
  3. Step 3: Cross multiply
    2,650.11x = 3,657.11 × 1,471.14
  4. Step 4: Simplify right side
    2,650.11x = 5,380,113.45
  5. Step 5: Solve for x
    x = 5,380,113.45/2,650.11
  6. Step 6: Final answer
    x = 2,030.15

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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.