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Finding the Fourth Proportional to 3,072.70, 4,612.65 and 1,981.60

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Solution

The fourth proportional to 3,072.70, 4,612.65 and 1,981.60 is: 2,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.70 : 4,612.65 = 1,981.60 : x
  2. Step 2: Convert to fraction form
    3,072.70/4,612.65 = 1,981.60/x
  3. Step 3: Cross multiply
    3,072.70x = 4,612.65 × 1,981.60
  4. Step 4: Simplify right side
    3,072.70x = 9,140,427.24
  5. Step 5: Solve for x
    x = 9,140,427.24/3,072.70
  6. Step 6: Final answer
    x = 2,974.72

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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.