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Finding the Fourth Proportional to 2,970.66, 4,099.41 and 1,644.42

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Solution

The fourth proportional to 2,970.66, 4,099.41 and 1,644.42 is: 2,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,099.41 = 1,644.42 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,099.41 = 1,644.42/x
  3. Step 3: Cross multiply
    2,970.66x = 4,099.41 × 1,644.42
  4. Step 4: Simplify right side
    2,970.66x = 6,741,151.79
  5. Step 5: Solve for x
    x = 6,741,151.79/2,970.66
  6. Step 6: Final answer
    x = 2,269.24

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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.