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Finding the Fourth Proportional to 1,447.92, 1,997.52 and 923.76

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Solution

The fourth proportional to 1,447.92, 1,997.52 and 923.76 is: 1,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.92 : 1,997.52 = 923.76 : x
  2. Step 2: Convert to fraction form
    1,447.92/1,997.52 = 923.76/x
  3. Step 3: Cross multiply
    1,447.92x = 1,997.52 × 923.76
  4. Step 4: Simplify right side
    1,447.92x = 1,845,229.08
  5. Step 5: Solve for x
    x = 1,845,229.08/1,447.92
  6. Step 6: Final answer
    x = 1,274.40

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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.