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Finding the Fourth Proportional to 1,610.92, 2,222.79 and 981.23

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Solution

The fourth proportional to 1,610.92, 2,222.79 and 981.23 is: 1,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.92 : 2,222.79 = 981.23 : x
  2. Step 2: Convert to fraction form
    1,610.92/2,222.79 = 981.23/x
  3. Step 3: Cross multiply
    1,610.92x = 2,222.79 × 981.23
  4. Step 4: Simplify right side
    1,610.92x = 2,181,068.23
  5. Step 5: Solve for x
    x = 2,181,068.23/1,610.92
  6. Step 6: Final answer
    x = 1,353.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.