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Finding the Fourth Proportional to 2,112.31, 3,168.49 and 651.45

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Solution

The fourth proportional to 2,112.31, 3,168.49 and 651.45 is: 977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.31 : 3,168.49 = 651.45 : x
  2. Step 2: Convert to fraction form
    2,112.31/3,168.49 = 651.45/x
  3. Step 3: Cross multiply
    2,112.31x = 3,168.49 × 651.45
  4. Step 4: Simplify right side
    2,112.31x = 2,064,122.36
  5. Step 5: Solve for x
    x = 2,064,122.36/2,112.31
  6. Step 6: Final answer
    x = 977.19

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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.