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Finding the Fourth Proportional to 3,178.86, 4,767.27 and 1,329.63

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Solution

The fourth proportional to 3,178.86, 4,767.27 and 1,329.63 is: 1,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.86 : 4,767.27 = 1,329.63 : x
  2. Step 2: Convert to fraction form
    3,178.86/4,767.27 = 1,329.63/x
  3. Step 3: Cross multiply
    3,178.86x = 4,767.27 × 1,329.63
  4. Step 4: Simplify right side
    3,178.86x = 6,338,705.21
  5. Step 5: Solve for x
    x = 6,338,705.21/3,178.86
  6. Step 6: Final answer
    x = 1,994.02

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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.