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Finding the Fourth Proportional to 2,161.58, 2,984.42 and 1,663.34

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Solution

The fourth proportional to 2,161.58, 2,984.42 and 1,663.34 is: 2,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.58 : 2,984.42 = 1,663.34 : x
  2. Step 2: Convert to fraction form
    2,161.58/2,984.42 = 1,663.34/x
  3. Step 3: Cross multiply
    2,161.58x = 2,984.42 × 1,663.34
  4. Step 4: Simplify right side
    2,161.58x = 4,964,096.85
  5. Step 5: Solve for x
    x = 4,964,096.85/2,161.58
  6. Step 6: Final answer
    x = 2,296.51

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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.