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Finding the Fourth Proportional to 2,977.01, 4,108.52 and 1,650.80

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Solution

The fourth proportional to 2,977.01, 4,108.52 and 1,650.80 is: 2,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.01 : 4,108.52 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    2,977.01/4,108.52 = 1,650.80/x
  3. Step 3: Cross multiply
    2,977.01x = 4,108.52 × 1,650.80
  4. Step 4: Simplify right side
    2,977.01x = 6,782,336.56
  5. Step 5: Solve for x
    x = 6,782,336.56/2,977.01
  6. Step 6: Final answer
    x = 2,278.24

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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.