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Finding the Fourth Proportional to 3,200.30, 4,798.93 and 1,197.64

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Solution

The fourth proportional to 3,200.30, 4,798.93 and 1,197.64 is: 1,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.30 : 4,798.93 = 1,197.64 : x
  2. Step 2: Convert to fraction form
    3,200.30/4,798.93 = 1,197.64/x
  3. Step 3: Cross multiply
    3,200.30x = 4,798.93 × 1,197.64
  4. Step 4: Simplify right side
    3,200.30x = 5,747,390.53
  5. Step 5: Solve for x
    x = 5,747,390.53/3,200.30
  6. Step 6: Final answer
    x = 1,795.89

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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.