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Finding the Fourth Proportional to 2,399.02, 3,598.53 and 667.64

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Solution

The fourth proportional to 2,399.02, 3,598.53 and 667.64 is: 1,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.02 : 3,598.53 = 667.64 : x
  2. Step 2: Convert to fraction form
    2,399.02/3,598.53 = 667.64/x
  3. Step 3: Cross multiply
    2,399.02x = 3,598.53 × 667.64
  4. Step 4: Simplify right side
    2,399.02x = 2,402,522.57
  5. Step 5: Solve for x
    x = 2,402,522.57/2,399.02
  6. Step 6: Final answer
    x = 1,001.46

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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.