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Finding the Fourth Proportional to 3,406.57, 4,701.55 and 2,148.19

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Solution

The fourth proportional to 3,406.57, 4,701.55 and 2,148.19 is: 2,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.57 : 4,701.55 = 2,148.19 : x
  2. Step 2: Convert to fraction form
    3,406.57/4,701.55 = 2,148.19/x
  3. Step 3: Cross multiply
    3,406.57x = 4,701.55 × 2,148.19
  4. Step 4: Simplify right side
    3,406.57x = 10,099,822.69
  5. Step 5: Solve for x
    x = 10,099,822.69/3,406.57
  6. Step 6: Final answer
    x = 2,964.81

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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.