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Finding the Fourth Proportional to 2,903.85, 4,007.25 and 1,644.93

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Solution

The fourth proportional to 2,903.85, 4,007.25 and 1,644.93 is: 2,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.85 : 4,007.25 = 1,644.93 : x
  2. Step 2: Convert to fraction form
    2,903.85/4,007.25 = 1,644.93/x
  3. Step 3: Cross multiply
    2,903.85x = 4,007.25 × 1,644.93
  4. Step 4: Simplify right side
    2,903.85x = 6,591,645.74
  5. Step 5: Solve for x
    x = 6,591,645.74/2,903.85
  6. Step 6: Final answer
    x = 2,269.97

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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.