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Finding the Fourth Proportional to 1,884.16, 2,827.97 and 960.38

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Solution

The fourth proportional to 1,884.16, 2,827.97 and 960.38 is: 1,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.16 : 2,827.97 = 960.38 : x
  2. Step 2: Convert to fraction form
    1,884.16/2,827.97 = 960.38/x
  3. Step 3: Cross multiply
    1,884.16x = 2,827.97 × 960.38
  4. Step 4: Simplify right side
    1,884.16x = 2,715,921.03
  5. Step 5: Solve for x
    x = 2,715,921.03/1,884.16
  6. Step 6: Final answer
    x = 1,441.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.