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Finding the Fourth Proportional to 2,224.14, 3,333.51 and 1,598.64

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Solution

The fourth proportional to 2,224.14, 3,333.51 and 1,598.64 is: 2,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.14 : 3,333.51 = 1,598.64 : x
  2. Step 2: Convert to fraction form
    2,224.14/3,333.51 = 1,598.64/x
  3. Step 3: Cross multiply
    2,224.14x = 3,333.51 × 1,598.64
  4. Step 4: Simplify right side
    2,224.14x = 5,329,082.43
  5. Step 5: Solve for x
    x = 5,329,082.43/2,224.14
  6. Step 6: Final answer
    x = 2,396.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.