Home / 1,594.62-2,201.31-931.23

Finding the Fourth Proportional to 1,594.62, 2,201.31 and 931.23

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Solution

The fourth proportional to 1,594.62, 2,201.31 and 931.23 is: 1,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.62 : 2,201.31 = 931.23 : x
  2. Step 2: Convert to fraction form
    1,594.62/2,201.31 = 931.23/x
  3. Step 3: Cross multiply
    1,594.62x = 2,201.31 × 931.23
  4. Step 4: Simplify right side
    1,594.62x = 2,049,925.91
  5. Step 5: Solve for x
    x = 2,049,925.91/1,594.62
  6. Step 6: Final answer
    x = 1,285.53

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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.