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Finding the Fourth Proportional to 2,399.19, 3,598.99 and 667.82

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Solution

The fourth proportional to 2,399.19, 3,598.99 and 667.82 is: 1,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.19 : 3,598.99 = 667.82 : x
  2. Step 2: Convert to fraction form
    2,399.19/3,598.99 = 667.82/x
  3. Step 3: Cross multiply
    2,399.19x = 3,598.99 × 667.82
  4. Step 4: Simplify right side
    2,399.19x = 2,403,459.51
  5. Step 5: Solve for x
    x = 2,403,459.51/2,399.19
  6. Step 6: Final answer
    x = 1,001.78

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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.