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Finding the Fourth Proportional to 1,906.03, 2,630.78 and 1,207

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Solution

The fourth proportional to 1,906.03, 2,630.78 and 1,207 is: 1,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.03 : 2,630.78 = 1,207 : x
  2. Step 2: Convert to fraction form
    1,906.03/2,630.78 = 1,207/x
  3. Step 3: Cross multiply
    1,906.03x = 2,630.78 × 1,207
  4. Step 4: Simplify right side
    1,906.03x = 3,175,351.46
  5. Step 5: Solve for x
    x = 3,175,351.46/1,906.03
  6. Step 6: Final answer
    x = 1,665.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.