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Finding the Fourth Proportional to 2,399.51, 3,599.33 and 668.13

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Solution

The fourth proportional to 2,399.51, 3,599.33 and 668.13 is: 1,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.51 : 3,599.33 = 668.13 : x
  2. Step 2: Convert to fraction form
    2,399.51/3,599.33 = 668.13/x
  3. Step 3: Cross multiply
    2,399.51x = 3,599.33 × 668.13
  4. Step 4: Simplify right side
    2,399.51x = 2,404,817.01
  5. Step 5: Solve for x
    x = 2,404,817.01/2,399.51
  6. Step 6: Final answer
    x = 1,002.21

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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.