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Finding the Fourth Proportional to 2,970.93, 4,099.82 and 1,644.55

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Solution

The fourth proportional to 2,970.93, 4,099.82 and 1,644.55 is: 2,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.93 : 4,099.82 = 1,644.55 : x
  2. Step 2: Convert to fraction form
    2,970.93/4,099.82 = 1,644.55/x
  3. Step 3: Cross multiply
    2,970.93x = 4,099.82 × 1,644.55
  4. Step 4: Simplify right side
    2,970.93x = 6,742,358.98
  5. Step 5: Solve for x
    x = 6,742,358.98/2,970.93
  6. Step 6: Final answer
    x = 2,269.44

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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.