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Finding the Fourth Proportional to 2,902.86, 4,005.75 and 1,644.05

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Solution

The fourth proportional to 2,902.86, 4,005.75 and 1,644.05 is: 2,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.86 : 4,005.75 = 1,644.05 : x
  2. Step 2: Convert to fraction form
    2,902.86/4,005.75 = 1,644.05/x
  3. Step 3: Cross multiply
    2,902.86x = 4,005.75 × 1,644.05
  4. Step 4: Simplify right side
    2,902.86x = 6,585,653.29
  5. Step 5: Solve for x
    x = 6,585,653.29/2,902.86
  6. Step 6: Final answer
    x = 2,268.68

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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.