Home / 1,596.07-2,202.59-932.99

Finding the Fourth Proportional to 1,596.07, 2,202.59 and 932.99

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Solution

The fourth proportional to 1,596.07, 2,202.59 and 932.99 is: 1,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.07 : 2,202.59 = 932.99 : x
  2. Step 2: Convert to fraction form
    1,596.07/2,202.59 = 932.99/x
  3. Step 3: Cross multiply
    1,596.07x = 2,202.59 × 932.99
  4. Step 4: Simplify right side
    1,596.07x = 2,054,989.78
  5. Step 5: Solve for x
    x = 2,054,989.78/1,596.07
  6. Step 6: Final answer
    x = 1,287.54

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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.