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Finding the Fourth Proportional to 3,281.24, 4,918.62 and 1,817.32

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Solution

The fourth proportional to 3,281.24, 4,918.62 and 1,817.32 is: 2,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.24 : 4,918.62 = 1,817.32 : x
  2. Step 2: Convert to fraction form
    3,281.24/4,918.62 = 1,817.32/x
  3. Step 3: Cross multiply
    3,281.24x = 4,918.62 × 1,817.32
  4. Step 4: Simplify right side
    3,281.24x = 8,938,706.50
  5. Step 5: Solve for x
    x = 8,938,706.50/3,281.24
  6. Step 6: Final answer
    x = 2,724.19

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Why These Related Problems?

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