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Finding the Fourth Proportional to 2,144.31, 3,214.02 and 987.63

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Solution

The fourth proportional to 2,144.31, 3,214.02 and 987.63 is: 1,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.31 : 3,214.02 = 987.63 : x
  2. Step 2: Convert to fraction form
    2,144.31/3,214.02 = 987.63/x
  3. Step 3: Cross multiply
    2,144.31x = 3,214.02 × 987.63
  4. Step 4: Simplify right side
    2,144.31x = 3,174,262.57
  5. Step 5: Solve for x
    x = 3,174,262.57/2,144.31
  6. Step 6: Final answer
    x = 1,480.32

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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.