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Finding the Fourth Proportional to 2,970.97, 4,099.76 and 1,644.60

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Solution

The fourth proportional to 2,970.97, 4,099.76 and 1,644.60 is: 2,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.97 : 4,099.76 = 1,644.60 : x
  2. Step 2: Convert to fraction form
    2,970.97/4,099.76 = 1,644.60/x
  3. Step 3: Cross multiply
    2,970.97x = 4,099.76 × 1,644.60
  4. Step 4: Simplify right side
    2,970.97x = 6,742,465.30
  5. Step 5: Solve for x
    x = 6,742,465.30/2,970.97
  6. Step 6: Final answer
    x = 2,269.45

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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.