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Finding the Fourth Proportional to 3,178.35, 4,765.21 and 1,329.99

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Solution

The fourth proportional to 3,178.35, 4,765.21 and 1,329.99 is: 1,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.35 : 4,765.21 = 1,329.99 : x
  2. Step 2: Convert to fraction form
    3,178.35/4,765.21 = 1,329.99/x
  3. Step 3: Cross multiply
    3,178.35x = 4,765.21 × 1,329.99
  4. Step 4: Simplify right side
    3,178.35x = 6,337,681.65
  5. Step 5: Solve for x
    x = 6,337,681.65/3,178.35
  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.