Home / 1,596.48-2,202.94-933.20

Finding the Fourth Proportional to 1,596.48, 2,202.94 and 933.20

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Solution

The fourth proportional to 1,596.48, 2,202.94 and 933.20 is: 1,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.48 : 2,202.94 = 933.20 : x
  2. Step 2: Convert to fraction form
    1,596.48/2,202.94 = 933.20/x
  3. Step 3: Cross multiply
    1,596.48x = 2,202.94 × 933.20
  4. Step 4: Simplify right side
    1,596.48x = 2,055,783.61
  5. Step 5: Solve for x
    x = 2,055,783.61/1,596.48
  6. Step 6: Final answer
    x = 1,287.70

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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.