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Finding the Fourth Proportional to 3,200.37, 4,794.07 and 1,658.13

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Solution

The fourth proportional to 3,200.37, 4,794.07 and 1,658.13 is: 2,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.37 : 4,794.07 = 1,658.13 : x
  2. Step 2: Convert to fraction form
    3,200.37/4,794.07 = 1,658.13/x
  3. Step 3: Cross multiply
    3,200.37x = 4,794.07 × 1,658.13
  4. Step 4: Simplify right side
    3,200.37x = 7,949,191.29
  5. Step 5: Solve for x
    x = 7,949,191.29/3,200.37
  6. Step 6: Final answer
    x = 2,483.84

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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.