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Finding the Fourth Proportional to 2,297.14, 3,169.14 and 1,500.21

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Solution

The fourth proportional to 2,297.14, 3,169.14 and 1,500.21 is: 2,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.14 : 3,169.14 = 1,500.21 : x
  2. Step 2: Convert to fraction form
    2,297.14/3,169.14 = 1,500.21/x
  3. Step 3: Cross multiply
    2,297.14x = 3,169.14 × 1,500.21
  4. Step 4: Simplify right side
    2,297.14x = 4,754,387.25
  5. Step 5: Solve for x
    x = 4,754,387.25/2,297.14
  6. Step 6: Final answer
    x = 2,069.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.