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Finding the Fourth Proportional to 2,903.09, 4,006.29 and 1,644.15

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Solution

The fourth proportional to 2,903.09, 4,006.29 and 1,644.15 is: 2,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.09 : 4,006.29 = 1,644.15 : x
  2. Step 2: Convert to fraction form
    2,903.09/4,006.29 = 1,644.15/x
  3. Step 3: Cross multiply
    2,903.09x = 4,006.29 × 1,644.15
  4. Step 4: Simplify right side
    2,903.09x = 6,586,941.70
  5. Step 5: Solve for x
    x = 6,586,941.70/2,903.09
  6. Step 6: Final answer
    x = 2,268.95

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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.