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Finding the Fourth Proportional to 2,143.97, 3,215.90 and 989.72

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Solution

The fourth proportional to 2,143.97, 3,215.90 and 989.72 is: 1,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.97 : 3,215.90 = 989.72 : x
  2. Step 2: Convert to fraction form
    2,143.97/3,215.90 = 989.72/x
  3. Step 3: Cross multiply
    2,143.97x = 3,215.90 × 989.72
  4. Step 4: Simplify right side
    2,143.97x = 3,182,840.55
  5. Step 5: Solve for x
    x = 3,182,840.55/2,143.97
  6. Step 6: Final answer
    x = 1,484.55

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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.