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Finding the Fourth Proportional to 3,181.08, 4,771.62 and 1,641

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Solution

The fourth proportional to 3,181.08, 4,771.62 and 1,641 is: 2,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.08 : 4,771.62 = 1,641 : x
  2. Step 2: Convert to fraction form
    3,181.08/4,771.62 = 1,641/x
  3. Step 3: Cross multiply
    3,181.08x = 4,771.62 × 1,641
  4. Step 4: Simplify right side
    3,181.08x = 7,830,228.42
  5. Step 5: Solve for x
    x = 7,830,228.42/3,181.08
  6. Step 6: Final answer
    x = 2,461.50

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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.