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Finding the Fourth Proportional to 2,922.96, 4,033.53 and 1,663.82

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Solution

The fourth proportional to 2,922.96, 4,033.53 and 1,663.82 is: 2,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.96 : 4,033.53 = 1,663.82 : x
  2. Step 2: Convert to fraction form
    2,922.96/4,033.53 = 1,663.82/x
  3. Step 3: Cross multiply
    2,922.96x = 4,033.53 × 1,663.82
  4. Step 4: Simplify right side
    2,922.96x = 6,711,047.72
  5. Step 5: Solve for x
    x = 6,711,047.72/2,922.96
  6. Step 6: Final answer
    x = 2,295.98

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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.