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Finding the Fourth Proportional to 2,735.85, 3,775.91 and 1,740.09

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Solution

The fourth proportional to 2,735.85, 3,775.91 and 1,740.09 is: 2,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.85 : 3,775.91 = 1,740.09 : x
  2. Step 2: Convert to fraction form
    2,735.85/3,775.91 = 1,740.09/x
  3. Step 3: Cross multiply
    2,735.85x = 3,775.91 × 1,740.09
  4. Step 4: Simplify right side
    2,735.85x = 6,570,414.53
  5. Step 5: Solve for x
    x = 6,570,414.53/2,735.85
  6. Step 6: Final answer
    x = 2,401.60

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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.