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Finding the Fourth Proportional to 2,084.80, 3,126.48 and 623.92

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Solution

The fourth proportional to 2,084.80, 3,126.48 and 623.92 is: 935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.80 : 3,126.48 = 623.92 : x
  2. Step 2: Convert to fraction form
    2,084.80/3,126.48 = 623.92/x
  3. Step 3: Cross multiply
    2,084.80x = 3,126.48 × 623.92
  4. Step 4: Simplify right side
    2,084.80x = 1,950,673.40
  5. Step 5: Solve for x
    x = 1,950,673.40/2,084.80
  6. Step 6: Final answer
    x = 935.66

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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.