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Finding the Fourth Proportional to 2,859.93, 4,289.84 and 779.90

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Solution

The fourth proportional to 2,859.93, 4,289.84 and 779.90 is: 1,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.93 : 4,289.84 = 779.90 : x
  2. Step 2: Convert to fraction form
    2,859.93/4,289.84 = 779.90/x
  3. Step 3: Cross multiply
    2,859.93x = 4,289.84 × 779.90
  4. Step 4: Simplify right side
    2,859.93x = 3,345,646.22
  5. Step 5: Solve for x
    x = 3,345,646.22/2,859.93
  6. Step 6: Final answer
    x = 1,169.84

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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.