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Finding the Fourth Proportional to 2,588.07, 3,879.82 and 1,029.17

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Solution

The fourth proportional to 2,588.07, 3,879.82 and 1,029.17 is: 1,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.07 : 3,879.82 = 1,029.17 : x
  2. Step 2: Convert to fraction form
    2,588.07/3,879.82 = 1,029.17/x
  3. Step 3: Cross multiply
    2,588.07x = 3,879.82 × 1,029.17
  4. Step 4: Simplify right side
    2,588.07x = 3,992,994.35
  5. Step 5: Solve for x
    x = 3,992,994.35/2,588.07
  6. Step 6: Final answer
    x = 1,542.85

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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.