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Finding the Fourth Proportional to 2,970.26, 4,099.11 and 1,644.11

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Solution

The fourth proportional to 2,970.26, 4,099.11 and 1,644.11 is: 2,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.26 : 4,099.11 = 1,644.11 : x
  2. Step 2: Convert to fraction form
    2,970.26/4,099.11 = 1,644.11/x
  3. Step 3: Cross multiply
    2,970.26x = 4,099.11 × 1,644.11
  4. Step 4: Simplify right side
    2,970.26x = 6,739,387.74
  5. Step 5: Solve for x
    x = 6,739,387.74/2,970.26
  6. Step 6: Final answer
    x = 2,268.96

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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.