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Finding the Fourth Proportional to 2,084.75, 3,126.82 and 623.71

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Solution

The fourth proportional to 2,084.75, 3,126.82 and 623.71 is: 935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.75 : 3,126.82 = 623.71 : x
  2. Step 2: Convert to fraction form
    2,084.75/3,126.82 = 623.71/x
  3. Step 3: Cross multiply
    2,084.75x = 3,126.82 × 623.71
  4. Step 4: Simplify right side
    2,084.75x = 1,950,228.90
  5. Step 5: Solve for x
    x = 1,950,228.90/2,084.75
  6. Step 6: Final answer
    x = 935.47

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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.