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Finding the Fourth Proportional to 2,084.96, 3,126.67 and 623.62

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Solution

The fourth proportional to 2,084.96, 3,126.67 and 623.62 is: 935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.96 : 3,126.67 = 623.62 : x
  2. Step 2: Convert to fraction form
    2,084.96/3,126.67 = 623.62/x
  3. Step 3: Cross multiply
    2,084.96x = 3,126.67 × 623.62
  4. Step 4: Simplify right side
    2,084.96x = 1,949,853.95
  5. Step 5: Solve for x
    x = 1,949,853.95/2,084.96
  6. Step 6: Final answer
    x = 935.20

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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.