Home / 1,596.24-2,202.81-933.54

Finding the Fourth Proportional to 1,596.24, 2,202.81 and 933.54

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Solution

The fourth proportional to 1,596.24, 2,202.81 and 933.54 is: 1,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.24 : 2,202.81 = 933.54 : x
  2. Step 2: Convert to fraction form
    1,596.24/2,202.81 = 933.54/x
  3. Step 3: Cross multiply
    1,596.24x = 2,202.81 × 933.54
  4. Step 4: Simplify right side
    1,596.24x = 2,056,411.25
  5. Step 5: Solve for x
    x = 2,056,411.25/1,596.24
  6. Step 6: Final answer
    x = 1,288.28

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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.