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Finding the Fourth Proportional to 2,396.67, 3,598.11 and 1,880.03

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Solution

The fourth proportional to 2,396.67, 3,598.11 and 1,880.03 is: 2,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.67 : 3,598.11 = 1,880.03 : x
  2. Step 2: Convert to fraction form
    2,396.67/3,598.11 = 1,880.03/x
  3. Step 3: Cross multiply
    2,396.67x = 3,598.11 × 1,880.03
  4. Step 4: Simplify right side
    2,396.67x = 6,764,536.75
  5. Step 5: Solve for x
    x = 6,764,536.75/2,396.67
  6. Step 6: Final answer
    x = 2,822.47

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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.