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Finding the Fourth Proportional to 2,970.81, 4,099.05 and 2,223.09

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Solution

The fourth proportional to 2,970.81, 4,099.05 and 2,223.09 is: 3,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.81 : 4,099.05 = 2,223.09 : x
  2. Step 2: Convert to fraction form
    2,970.81/4,099.05 = 2,223.09/x
  3. Step 3: Cross multiply
    2,970.81x = 4,099.05 × 2,223.09
  4. Step 4: Simplify right side
    2,970.81x = 9,112,557.06
  5. Step 5: Solve for x
    x = 9,112,557.06/2,970.81
  6. Step 6: Final answer
    x = 3,067.36

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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.