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Finding the Fourth Proportional to 4,120.99, 6,176.27 and 1,778.63

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Solution

The fourth proportional to 4,120.99, 6,176.27 and 1,778.63 is: 2,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.99 : 6,176.27 = 1,778.63 : x
  2. Step 2: Convert to fraction form
    4,120.99/6,176.27 = 1,778.63/x
  3. Step 3: Cross multiply
    4,120.99x = 6,176.27 × 1,778.63
  4. Step 4: Simplify right side
    4,120.99x = 10,985,305.66
  5. Step 5: Solve for x
    x = 10,985,305.66/4,120.99
  6. Step 6: Final answer
    x = 2,665.70

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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.