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Finding the Fourth Proportional to 1,928.27, 2,891.66 and 941.51

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Solution

The fourth proportional to 1,928.27, 2,891.66 and 941.51 is: 1,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.27 : 2,891.66 = 941.51 : x
  2. Step 2: Convert to fraction form
    1,928.27/2,891.66 = 941.51/x
  3. Step 3: Cross multiply
    1,928.27x = 2,891.66 × 941.51
  4. Step 4: Simplify right side
    1,928.27x = 2,722,529.33
  5. Step 5: Solve for x
    x = 2,722,529.33/1,928.27
  6. Step 6: Final answer
    x = 1,411.90

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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.