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Finding the Fourth Proportional to 3,084.10, 4,626.11 and 744.08

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Solution

The fourth proportional to 3,084.10, 4,626.11 and 744.08 is: 1,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.10 : 4,626.11 = 744.08 : x
  2. Step 2: Convert to fraction form
    3,084.10/4,626.11 = 744.08/x
  3. Step 3: Cross multiply
    3,084.10x = 4,626.11 × 744.08
  4. Step 4: Simplify right side
    3,084.10x = 3,442,208.11
  5. Step 5: Solve for x
    x = 3,442,208.11/3,084.10
  6. Step 6: Final answer
    x = 1,116.11

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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.