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Finding the Fourth Proportional to 1,922.45, 2,883.57 and 606.17

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Solution

The fourth proportional to 1,922.45, 2,883.57 and 606.17 is: 909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.45 : 2,883.57 = 606.17 : x
  2. Step 2: Convert to fraction form
    1,922.45/2,883.57 = 606.17/x
  3. Step 3: Cross multiply
    1,922.45x = 2,883.57 × 606.17
  4. Step 4: Simplify right side
    1,922.45x = 1,747,933.63
  5. Step 5: Solve for x
    x = 1,747,933.63/1,922.45
  6. Step 6: Final answer
    x = 909.22

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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.