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Finding the Fourth Proportional to 1,630.79, 2,250.48 and 932.16

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Solution

The fourth proportional to 1,630.79, 2,250.48 and 932.16 is: 1,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.79 : 2,250.48 = 932.16 : x
  2. Step 2: Convert to fraction form
    1,630.79/2,250.48 = 932.16/x
  3. Step 3: Cross multiply
    1,630.79x = 2,250.48 × 932.16
  4. Step 4: Simplify right side
    1,630.79x = 2,097,807.44
  5. Step 5: Solve for x
    x = 2,097,807.44/1,630.79
  6. Step 6: Final answer
    x = 1,286.38

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1.5x scale

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.