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Finding the Fourth Proportional to 2,192.09, 3,287.33 and 631.57

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Solution

The fourth proportional to 2,192.09, 3,287.33 and 631.57 is: 947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.09 : 3,287.33 = 631.57 : x
  2. Step 2: Convert to fraction form
    2,192.09/3,287.33 = 631.57/x
  3. Step 3: Cross multiply
    2,192.09x = 3,287.33 × 631.57
  4. Step 4: Simplify right side
    2,192.09x = 2,076,179.01
  5. Step 5: Solve for x
    x = 2,076,179.01/2,192.09
  6. Step 6: Final answer
    x = 947.12

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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.