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Finding the Fourth Proportional to 3,084.91, 4,626.12 and 1,305.25

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Solution

The fourth proportional to 3,084.91, 4,626.12 and 1,305.25 is: 1,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.91 : 4,626.12 = 1,305.25 : x
  2. Step 2: Convert to fraction form
    3,084.91/4,626.12 = 1,305.25/x
  3. Step 3: Cross multiply
    3,084.91x = 4,626.12 × 1,305.25
  4. Step 4: Simplify right side
    3,084.91x = 6,038,243.13
  5. Step 5: Solve for x
    x = 6,038,243.13/3,084.91
  6. Step 6: Final answer
    x = 1,957.35

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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.