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Finding the Fourth Proportional to 2,970.66, 4,099.03 and 1,644.36

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Solution

The fourth proportional to 2,970.66, 4,099.03 and 1,644.36 is: 2,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,099.03 = 1,644.36 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,099.03 = 1,644.36/x
  3. Step 3: Cross multiply
    2,970.66x = 4,099.03 × 1,644.36
  4. Step 4: Simplify right side
    2,970.66x = 6,740,280.97
  5. Step 5: Solve for x
    x = 6,740,280.97/2,970.66
  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.