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Finding the Fourth Proportional to 2,970.63, 4,099.26 and 1,644.25

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Solution

The fourth proportional to 2,970.63, 4,099.26 and 1,644.25 is: 2,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.63 : 4,099.26 = 1,644.25 : x
  2. Step 2: Convert to fraction form
    2,970.63/4,099.26 = 1,644.25/x
  3. Step 3: Cross multiply
    2,970.63x = 4,099.26 × 1,644.25
  4. Step 4: Simplify right side
    2,970.63x = 6,740,208.26
  5. Step 5: Solve for x
    x = 6,740,208.26/2,970.63
  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.