Home / 1,609.24-2,220.36-946.12

Finding the Fourth Proportional to 1,609.24, 2,220.36 and 946.12

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Solution

The fourth proportional to 1,609.24, 2,220.36 and 946.12 is: 1,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.24 : 2,220.36 = 946.12 : x
  2. Step 2: Convert to fraction form
    1,609.24/2,220.36 = 946.12/x
  3. Step 3: Cross multiply
    1,609.24x = 2,220.36 × 946.12
  4. Step 4: Simplify right side
    1,609.24x = 2,100,727.00
  5. Step 5: Solve for x
    x = 2,100,727.00/1,609.24
  6. Step 6: Final answer
    x = 1,305.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.