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Finding the Fourth Proportional to 3,084.24, 4,624.74 and 1,329.24

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Solution

The fourth proportional to 3,084.24, 4,624.74 and 1,329.24 is: 1,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.24 : 4,624.74 = 1,329.24 : x
  2. Step 2: Convert to fraction form
    3,084.24/4,624.74 = 1,329.24/x
  3. Step 3: Cross multiply
    3,084.24x = 4,624.74 × 1,329.24
  4. Step 4: Simplify right side
    3,084.24x = 6,147,389.40
  5. Step 5: Solve for x
    x = 6,147,389.40/3,084.24
  6. Step 6: Final answer
    x = 1,993.16

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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.