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Finding the Fourth Proportional to 1,481.96, 2,213.94 and 957.69

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Solution

The fourth proportional to 1,481.96, 2,213.94 and 957.69 is: 1,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.96 : 2,213.94 = 957.69 : x
  2. Step 2: Convert to fraction form
    1,481.96/2,213.94 = 957.69/x
  3. Step 3: Cross multiply
    1,481.96x = 2,213.94 × 957.69
  4. Step 4: Simplify right side
    1,481.96x = 2,120,268.20
  5. Step 5: Solve for x
    x = 2,120,268.20/1,481.96
  6. Step 6: Final answer
    x = 1,430.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.