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Finding the Fourth Proportional to 1,630.14, 2,250.24 and 1,106.48

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Solution

The fourth proportional to 1,630.14, 2,250.24 and 1,106.48 is: 1,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.14 : 2,250.24 = 1,106.48 : x
  2. Step 2: Convert to fraction form
    1,630.14/2,250.24 = 1,106.48/x
  3. Step 3: Cross multiply
    1,630.14x = 2,250.24 × 1,106.48
  4. Step 4: Simplify right side
    1,630.14x = 2,489,845.56
  5. Step 5: Solve for x
    x = 2,489,845.56/1,630.14
  6. Step 6: Final answer
    x = 1,527.38

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Why These Related Problems?

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