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Finding the Fourth Proportional to 4,114.90, 6,172.76 and 1,517.50

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Solution

The fourth proportional to 4,114.90, 6,172.76 and 1,517.50 is: 2,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.90 : 6,172.76 = 1,517.50 : x
  2. Step 2: Convert to fraction form
    4,114.90/6,172.76 = 1,517.50/x
  3. Step 3: Cross multiply
    4,114.90x = 6,172.76 × 1,517.50
  4. Step 4: Simplify right side
    4,114.90x = 9,367,163.30
  5. Step 5: Solve for x
    x = 9,367,163.30/4,114.90
  6. Step 6: Final answer
    x = 2,276.40

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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.