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Finding the Fourth Proportional to 1,630.54, 2,246.62 and 1,105.66

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Solution

The fourth proportional to 1,630.54, 2,246.62 and 1,105.66 is: 1,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.54 : 2,246.62 = 1,105.66 : x
  2. Step 2: Convert to fraction form
    1,630.54/2,246.62 = 1,105.66/x
  3. Step 3: Cross multiply
    1,630.54x = 2,246.62 × 1,105.66
  4. Step 4: Simplify right side
    1,630.54x = 2,483,981.11
  5. Step 5: Solve for x
    x = 2,483,981.11/1,630.54
  6. Step 6: Final answer
    x = 1,523.41

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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.