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Finding the Fourth Proportional to 2,689.89, 4,027.35 and 2,029.77

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Solution

The fourth proportional to 2,689.89, 4,027.35 and 2,029.77 is: 3,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.89 : 4,027.35 = 2,029.77 : x
  2. Step 2: Convert to fraction form
    2,689.89/4,027.35 = 2,029.77/x
  3. Step 3: Cross multiply
    2,689.89x = 4,027.35 × 2,029.77
  4. Step 4: Simplify right side
    2,689.89x = 8,174,594.21
  5. Step 5: Solve for x
    x = 8,174,594.21/2,689.89
  6. Step 6: Final answer
    x = 3,039.01

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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.