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Finding the Fourth Proportional to 3,242.02, 4,863.29 and 1,597.67

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Solution

The fourth proportional to 3,242.02, 4,863.29 and 1,597.67 is: 2,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.02 : 4,863.29 = 1,597.67 : x
  2. Step 2: Convert to fraction form
    3,242.02/4,863.29 = 1,597.67/x
  3. Step 3: Cross multiply
    3,242.02x = 4,863.29 × 1,597.67
  4. Step 4: Simplify right side
    3,242.02x = 7,769,924.55
  5. Step 5: Solve for x
    x = 7,769,924.55/3,242.02
  6. Step 6: Final answer
    x = 2,396.63

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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.