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Finding the Fourth Proportional to 1,609.57, 2,410.94 and 1,202.24

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Solution

The fourth proportional to 1,609.57, 2,410.94 and 1,202.24 is: 1,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.57 : 2,410.94 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    1,609.57/2,410.94 = 1,202.24/x
  3. Step 3: Cross multiply
    1,609.57x = 2,410.94 × 1,202.24
  4. Step 4: Simplify right side
    1,609.57x = 2,898,534.16
  5. Step 5: Solve for x
    x = 2,898,534.16/1,609.57
  6. Step 6: Final answer
    x = 1,800.81

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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.