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Finding the Fourth Proportional to 1,770.57, 2,443.10 and 1,627.20

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Solution

The fourth proportional to 1,770.57, 2,443.10 and 1,627.20 is: 2,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.57 : 2,443.10 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    1,770.57/2,443.10 = 1,627.20/x
  3. Step 3: Cross multiply
    1,770.57x = 2,443.10 × 1,627.20
  4. Step 4: Simplify right side
    1,770.57x = 3,975,404.18
  5. Step 5: Solve for x
    x = 3,975,404.18/1,770.57
  6. Step 6: Final answer
    x = 2,245.27

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