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Finding the Fourth Proportional to 1,922.66, 2,884.42 and 606.40

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Solution

The fourth proportional to 1,922.66, 2,884.42 and 606.40 is: 909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.66 : 2,884.42 = 606.40 : x
  2. Step 2: Convert to fraction form
    1,922.66/2,884.42 = 606.40/x
  3. Step 3: Cross multiply
    1,922.66x = 2,884.42 × 606.40
  4. Step 4: Simplify right side
    1,922.66x = 1,749,116.65
  5. Step 5: Solve for x
    x = 1,749,116.65/1,922.66
  6. Step 6: Final answer
    x = 909.74

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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.