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Finding the Fourth Proportional to 1,951.72, 2,924.84 and 1,464.22

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Solution

The fourth proportional to 1,951.72, 2,924.84 and 1,464.22 is: 2,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.72 : 2,924.84 = 1,464.22 : x
  2. Step 2: Convert to fraction form
    1,951.72/2,924.84 = 1,464.22/x
  3. Step 3: Cross multiply
    1,951.72x = 2,924.84 × 1,464.22
  4. Step 4: Simplify right side
    1,951.72x = 4,282,609.22
  5. Step 5: Solve for x
    x = 4,282,609.22/1,951.72
  6. Step 6: Final answer
    x = 2,194.27

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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.