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Finding the Fourth Proportional to 1,946.35, 2,919.42 and 630.08

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Solution

The fourth proportional to 1,946.35, 2,919.42 and 630.08 is: 945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.35 : 2,919.42 = 630.08 : x
  2. Step 2: Convert to fraction form
    1,946.35/2,919.42 = 630.08/x
  3. Step 3: Cross multiply
    1,946.35x = 2,919.42 × 630.08
  4. Step 4: Simplify right side
    1,946.35x = 1,839,462.73
  5. Step 5: Solve for x
    x = 1,839,462.73/1,946.35
  6. Step 6: Final answer
    x = 945.09

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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.