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Finding the Fourth Proportional to 3,178.62, 4,765.62 and 1,330.28

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Solution

The fourth proportional to 3,178.62, 4,765.62 and 1,330.28 is: 1,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.62 : 4,765.62 = 1,330.28 : x
  2. Step 2: Convert to fraction form
    3,178.62/4,765.62 = 1,330.28/x
  3. Step 3: Cross multiply
    3,178.62x = 4,765.62 × 1,330.28
  4. Step 4: Simplify right side
    3,178.62x = 6,339,585.15
  5. Step 5: Solve for x
    x = 6,339,585.15/3,178.62
  6. Step 6: Final answer
    x = 1,994.45

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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.