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Finding the Fourth Proportional to 3,170.14, 4,755.57 and 1,321

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Solution

The fourth proportional to 3,170.14, 4,755.57 and 1,321 is: 1,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.14 : 4,755.57 = 1,321 : x
  2. Step 2: Convert to fraction form
    3,170.14/4,755.57 = 1,321/x
  3. Step 3: Cross multiply
    3,170.14x = 4,755.57 × 1,321
  4. Step 4: Simplify right side
    3,170.14x = 6,282,107.97
  5. Step 5: Solve for x
    x = 6,282,107.97/3,170.14
  6. Step 6: Final answer
    x = 1,981.65

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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.