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Finding the Fourth Proportional to 2,669.64, 4,004.34 and 938.28

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Solution

The fourth proportional to 2,669.64, 4,004.34 and 938.28 is: 1,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.64 : 4,004.34 = 938.28 : x
  2. Step 2: Convert to fraction form
    2,669.64/4,004.34 = 938.28/x
  3. Step 3: Cross multiply
    2,669.64x = 4,004.34 × 938.28
  4. Step 4: Simplify right side
    2,669.64x = 3,757,192.14
  5. Step 5: Solve for x
    x = 3,757,192.14/2,669.64
  6. Step 6: Final answer
    x = 1,407.38

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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.