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Finding the Fourth Proportional to 1,630.70, 2,249.78 and 1,071.47

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Solution

The fourth proportional to 1,630.70, 2,249.78 and 1,071.47 is: 1,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.70 : 2,249.78 = 1,071.47 : x
  2. Step 2: Convert to fraction form
    1,630.70/2,249.78 = 1,071.47/x
  3. Step 3: Cross multiply
    1,630.70x = 2,249.78 × 1,071.47
  4. Step 4: Simplify right side
    1,630.70x = 2,410,572.04
  5. Step 5: Solve for x
    x = 2,410,572.04/1,630.70
  6. Step 6: Final answer
    x = 1,478.24

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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.