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Finding the Fourth Proportional to 2,650.77, 3,977.69 and 1,418.87

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Solution

The fourth proportional to 2,650.77, 3,977.69 and 1,418.87 is: 2,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.77 : 3,977.69 = 1,418.87 : x
  2. Step 2: Convert to fraction form
    2,650.77/3,977.69 = 1,418.87/x
  3. Step 3: Cross multiply
    2,650.77x = 3,977.69 × 1,418.87
  4. Step 4: Simplify right side
    2,650.77x = 5,643,833.18
  5. Step 5: Solve for x
    x = 5,643,833.18/2,650.77
  6. Step 6: Final answer
    x = 2,129.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.