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Finding the Fourth Proportional to 2,650.66, 3,657.98 and 1,471.84

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Solution

The fourth proportional to 2,650.66, 3,657.98 and 1,471.84 is: 2,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.66 : 3,657.98 = 1,471.84 : x
  2. Step 2: Convert to fraction form
    2,650.66/3,657.98 = 1,471.84/x
  3. Step 3: Cross multiply
    2,650.66x = 3,657.98 × 1,471.84
  4. Step 4: Simplify right side
    2,650.66x = 5,383,961.28
  5. Step 5: Solve for x
    x = 5,383,961.28/2,650.66
  6. Step 6: Final answer
    x = 2,031.18

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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.