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Finding the Fourth Proportional to 3,363.20, 4,641.12 and 2,120

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Solution

The fourth proportional to 3,363.20, 4,641.12 and 2,120 is: 2,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.20 : 4,641.12 = 2,120 : x
  2. Step 2: Convert to fraction form
    3,363.20/4,641.12 = 2,120/x
  3. Step 3: Cross multiply
    3,363.20x = 4,641.12 × 2,120
  4. Step 4: Simplify right side
    3,363.20x = 9,839,174.40
  5. Step 5: Solve for x
    x = 9,839,174.40/3,363.20
  6. Step 6: Final answer
    x = 2,925.54

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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.