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Finding the Fourth Proportional to 1,630.76, 2,250.60 and 932

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Solution

The fourth proportional to 1,630.76, 2,250.60 and 932 is: 1,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.76 : 2,250.60 = 932 : x
  2. Step 2: Convert to fraction form
    1,630.76/2,250.60 = 932/x
  3. Step 3: Cross multiply
    1,630.76x = 2,250.60 × 932
  4. Step 4: Simplify right side
    1,630.76x = 2,097,559.20
  5. Step 5: Solve for x
    x = 2,097,559.20/1,630.76
  6. Step 6: Final answer
    x = 1,286.25

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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.