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Finding the Fourth Proportional to 2,288.60, 3,161.94 and 2,113.64

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Solution

The fourth proportional to 2,288.60, 3,161.94 and 2,113.64 is: 2,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.60 : 3,161.94 = 2,113.64 : x
  2. Step 2: Convert to fraction form
    2,288.60/3,161.94 = 2,113.64/x
  3. Step 3: Cross multiply
    2,288.60x = 3,161.94 × 2,113.64
  4. Step 4: Simplify right side
    2,288.60x = 6,683,202.86
  5. Step 5: Solve for x
    x = 6,683,202.86/2,288.60
  6. Step 6: Final answer
    x = 2,920.21

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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.