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Finding the Fourth Proportional to 3,197.10, 4,792.53 and 1,530.80

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Solution

The fourth proportional to 3,197.10, 4,792.53 and 1,530.80 is: 2,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.10 : 4,792.53 = 1,530.80 : x
  2. Step 2: Convert to fraction form
    3,197.10/4,792.53 = 1,530.80/x
  3. Step 3: Cross multiply
    3,197.10x = 4,792.53 × 1,530.80
  4. Step 4: Simplify right side
    3,197.10x = 7,336,380.96
  5. Step 5: Solve for x
    x = 7,336,380.96/3,197.10
  6. Step 6: Final answer
    x = 2,294.70

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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.