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Finding the Fourth Proportional to 2,878.67, 4,317.38 and 1,029.92

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Solution

The fourth proportional to 2,878.67, 4,317.38 and 1,029.92 is: 1,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.67 : 4,317.38 = 1,029.92 : x
  2. Step 2: Convert to fraction form
    2,878.67/4,317.38 = 1,029.92/x
  3. Step 3: Cross multiply
    2,878.67x = 4,317.38 × 1,029.92
  4. Step 4: Simplify right side
    2,878.67x = 4,446,529.27
  5. Step 5: Solve for x
    x = 4,446,529.27/2,878.67
  6. Step 6: Final answer
    x = 1,544.65

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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.