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Finding the Fourth Proportional to 1,609.28, 2,412.32 and 960.32

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Solution

The fourth proportional to 1,609.28, 2,412.32 and 960.32 is: 1,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.28 : 2,412.32 = 960.32 : x
  2. Step 2: Convert to fraction form
    1,609.28/2,412.32 = 960.32/x
  3. Step 3: Cross multiply
    1,609.28x = 2,412.32 × 960.32
  4. Step 4: Simplify right side
    1,609.28x = 2,316,599.14
  5. Step 5: Solve for x
    x = 2,316,599.14/1,609.28
  6. Step 6: Final answer
    x = 1,439.53

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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.