Home / 1,596.23-2,202.36-933.24

Finding the Fourth Proportional to 1,596.23, 2,202.36 and 933.24

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Solution

The fourth proportional to 1,596.23, 2,202.36 and 933.24 is: 1,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.23 : 2,202.36 = 933.24 : x
  2. Step 2: Convert to fraction form
    1,596.23/2,202.36 = 933.24/x
  3. Step 3: Cross multiply
    1,596.23x = 2,202.36 × 933.24
  4. Step 4: Simplify right side
    1,596.23x = 2,055,330.45
  5. Step 5: Solve for x
    x = 2,055,330.45/1,596.23
  6. Step 6: Final answer
    x = 1,287.62

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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.