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Finding the Fourth Proportional to 2,145.13, 3,217.76 and 606.13

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Solution

The fourth proportional to 2,145.13, 3,217.76 and 606.13 is: 909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.13 : 3,217.76 = 606.13 : x
  2. Step 2: Convert to fraction form
    2,145.13/3,217.76 = 606.13/x
  3. Step 3: Cross multiply
    2,145.13x = 3,217.76 × 606.13
  4. Step 4: Simplify right side
    2,145.13x = 1,950,380.87
  5. Step 5: Solve for x
    x = 1,950,380.87/2,145.13
  6. Step 6: Final answer
    x = 909.21

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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.