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Finding the Fourth Proportional to 3,197.60, 4,792.57 and 1,881.98

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Solution

The fourth proportional to 3,197.60, 4,792.57 and 1,881.98 is: 2,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.60 : 4,792.57 = 1,881.98 : x
  2. Step 2: Convert to fraction form
    3,197.60/4,792.57 = 1,881.98/x
  3. Step 3: Cross multiply
    3,197.60x = 4,792.57 × 1,881.98
  4. Step 4: Simplify right side
    3,197.60x = 9,019,520.89
  5. Step 5: Solve for x
    x = 9,019,520.89/3,197.60
  6. Step 6: Final answer
    x = 2,820.72

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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.