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Finding the Fourth Proportional to 2,903.17, 4,006.32 and 1,644.21

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Solution

The fourth proportional to 2,903.17, 4,006.32 and 1,644.21 is: 2,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.17 : 4,006.32 = 1,644.21 : x
  2. Step 2: Convert to fraction form
    2,903.17/4,006.32 = 1,644.21/x
  3. Step 3: Cross multiply
    2,903.17x = 4,006.32 × 1,644.21
  4. Step 4: Simplify right side
    2,903.17x = 6,587,231.41
  5. Step 5: Solve for x
    x = 6,587,231.41/2,903.17
  6. Step 6: Final answer
    x = 2,268.98

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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.