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Finding the Fourth Proportional to 2,701.50, 3,729.70 and 1,771.62

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Solution

The fourth proportional to 2,701.50, 3,729.70 and 1,771.62 is: 2,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.50 : 3,729.70 = 1,771.62 : x
  2. Step 2: Convert to fraction form
    2,701.50/3,729.70 = 1,771.62/x
  3. Step 3: Cross multiply
    2,701.50x = 3,729.70 × 1,771.62
  4. Step 4: Simplify right side
    2,701.50x = 6,607,611.11
  5. Step 5: Solve for x
    x = 6,607,611.11/2,701.50
  6. Step 6: Final answer
    x = 2,445.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.