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Finding the Fourth Proportional to 1,262.01, 1,889.82 and 989.55

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Solution

The fourth proportional to 1,262.01, 1,889.82 and 989.55 is: 1,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.01 : 1,889.82 = 989.55 : x
  2. Step 2: Convert to fraction form
    1,262.01/1,889.82 = 989.55/x
  3. Step 3: Cross multiply
    1,262.01x = 1,889.82 × 989.55
  4. Step 4: Simplify right side
    1,262.01x = 1,870,071.38
  5. Step 5: Solve for x
    x = 1,870,071.38/1,262.01
  6. Step 6: Final answer
    x = 1,481.82

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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.