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Finding the Fourth Proportional to 2,650.19, 3,657.29 and 1,471.25

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Solution

The fourth proportional to 2,650.19, 3,657.29 and 1,471.25 is: 2,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.19 : 3,657.29 = 1,471.25 : x
  2. Step 2: Convert to fraction form
    2,650.19/3,657.29 = 1,471.25/x
  3. Step 3: Cross multiply
    2,650.19x = 3,657.29 × 1,471.25
  4. Step 4: Simplify right side
    2,650.19x = 5,380,787.91
  5. Step 5: Solve for x
    x = 5,380,787.91/2,650.19
  6. Step 6: Final answer
    x = 2,030.34

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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.