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Finding the Fourth Proportional to 4,641, 6,961.82 and 1,520.18

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Solution

The fourth proportional to 4,641, 6,961.82 and 1,520.18 is: 2,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641 : 6,961.82 = 1,520.18 : x
  2. Step 2: Convert to fraction form
    4,641/6,961.82 = 1,520.18/x
  3. Step 3: Cross multiply
    4,641x = 6,961.82 × 1,520.18
  4. Step 4: Simplify right side
    4,641x = 10,583,219.53
  5. Step 5: Solve for x
    x = 10,583,219.53/4,641
  6. Step 6: Final answer
    x = 2,280.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.