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Finding the Fourth Proportional to 4,080.62, 6,117.68 and 1,770.50

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Solution

The fourth proportional to 4,080.62, 6,117.68 and 1,770.50 is: 2,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.62 : 6,117.68 = 1,770.50 : x
  2. Step 2: Convert to fraction form
    4,080.62/6,117.68 = 1,770.50/x
  3. Step 3: Cross multiply
    4,080.62x = 6,117.68 × 1,770.50
  4. Step 4: Simplify right side
    4,080.62x = 10,831,352.44
  5. Step 5: Solve for x
    x = 10,831,352.44/4,080.62
  6. Step 6: Final answer
    x = 2,654.34

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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.