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Finding the Fourth Proportional to 2,084.30, 3,126.63 and 623.30

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Solution

The fourth proportional to 2,084.30, 3,126.63 and 623.30 is: 935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.30 : 3,126.63 = 623.30 : x
  2. Step 2: Convert to fraction form
    2,084.30/3,126.63 = 623.30/x
  3. Step 3: Cross multiply
    2,084.30x = 3,126.63 × 623.30
  4. Step 4: Simplify right side
    2,084.30x = 1,948,828.48
  5. Step 5: Solve for x
    x = 1,948,828.48/2,084.30
  6. Step 6: Final answer
    x = 935.00

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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.