Home / 1,597.34-2,391.66-826.22

Finding the Fourth Proportional to 1,597.34, 2,391.66 and 826.22

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Solution

The fourth proportional to 1,597.34, 2,391.66 and 826.22 is: 1,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.34 : 2,391.66 = 826.22 : x
  2. Step 2: Convert to fraction form
    1,597.34/2,391.66 = 826.22/x
  3. Step 3: Cross multiply
    1,597.34x = 2,391.66 × 826.22
  4. Step 4: Simplify right side
    1,597.34x = 1,976,037.33
  5. Step 5: Solve for x
    x = 1,976,037.33/1,597.34
  6. Step 6: Final answer
    x = 1,237.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.