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Finding the Fourth Proportional to 1,946.30, 2,919.17 and 630.18

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Solution

The fourth proportional to 1,946.30, 2,919.17 and 630.18 is: 945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.30 : 2,919.17 = 630.18 : x
  2. Step 2: Convert to fraction form
    1,946.30/2,919.17 = 630.18/x
  3. Step 3: Cross multiply
    1,946.30x = 2,919.17 × 630.18
  4. Step 4: Simplify right side
    1,946.30x = 1,839,604.13
  5. Step 5: Solve for x
    x = 1,839,604.13/1,946.30
  6. Step 6: Final answer
    x = 945.18

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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.