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Finding the Fourth Proportional to 2,468.56, 3,703.05 and 779.86

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Solution

The fourth proportional to 2,468.56, 3,703.05 and 779.86 is: 1,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.56 : 3,703.05 = 779.86 : x
  2. Step 2: Convert to fraction form
    2,468.56/3,703.05 = 779.86/x
  3. Step 3: Cross multiply
    2,468.56x = 3,703.05 × 779.86
  4. Step 4: Simplify right side
    2,468.56x = 2,887,860.57
  5. Step 5: Solve for x
    x = 2,887,860.57/2,468.56
  6. Step 6: Final answer
    x = 1,169.86

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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.