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Finding the Fourth Proportional to 1,921.28, 2,879.16 and 946.28

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Solution

The fourth proportional to 1,921.28, 2,879.16 and 946.28 is: 1,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.28 : 2,879.16 = 946.28 : x
  2. Step 2: Convert to fraction form
    1,921.28/2,879.16 = 946.28/x
  3. Step 3: Cross multiply
    1,921.28x = 2,879.16 × 946.28
  4. Step 4: Simplify right side
    1,921.28x = 2,724,491.52
  5. Step 5: Solve for x
    x = 2,724,491.52/1,921.28
  6. Step 6: Final answer
    x = 1,418.06

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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.