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Finding the Fourth Proportional to 2,977.52, 4,108.63 and 1,650.90

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Solution

The fourth proportional to 2,977.52, 4,108.63 and 1,650.90 is: 2,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.52 : 4,108.63 = 1,650.90 : x
  2. Step 2: Convert to fraction form
    2,977.52/4,108.63 = 1,650.90/x
  3. Step 3: Cross multiply
    2,977.52x = 4,108.63 × 1,650.90
  4. Step 4: Simplify right side
    2,977.52x = 6,782,929.01
  5. Step 5: Solve for x
    x = 6,782,929.01/2,977.52
  6. Step 6: Final answer
    x = 2,278.05

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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.