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Finding the Fourth Proportional to 2,977.07, 4,108.35 and 1,650.97

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Solution

The fourth proportional to 2,977.07, 4,108.35 and 1,650.97 is: 2,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.07 : 4,108.35 = 1,650.97 : x
  2. Step 2: Convert to fraction form
    2,977.07/4,108.35 = 1,650.97/x
  3. Step 3: Cross multiply
    2,977.07x = 4,108.35 × 1,650.97
  4. Step 4: Simplify right side
    2,977.07x = 6,782,733.80
  5. Step 5: Solve for x
    x = 6,782,733.80/2,977.07
  6. Step 6: Final answer
    x = 2,278.33

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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.