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Finding the Fourth Proportional to 2,287.31, 3,431.05 and 644.00

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Solution

The fourth proportional to 2,287.31, 3,431.05 and 644.00 is: 966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.31 : 3,431.05 = 644.00 : x
  2. Step 2: Convert to fraction form
    2,287.31/3,431.05 = 644.00/x
  3. Step 3: Cross multiply
    2,287.31x = 3,431.05 × 644.00
  4. Step 4: Simplify right side
    2,287.31x = 2,209,577.43
  5. Step 5: Solve for x
    x = 2,209,577.43/2,287.31
  6. Step 6: Final answer
    x = 966.02

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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.