Home / 1,597.24-2,204.19-934.54

Finding the Fourth Proportional to 1,597.24, 2,204.19 and 934.54

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Solution

The fourth proportional to 1,597.24, 2,204.19 and 934.54 is: 1,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.24 : 2,204.19 = 934.54 : x
  2. Step 2: Convert to fraction form
    1,597.24/2,204.19 = 934.54/x
  3. Step 3: Cross multiply
    1,597.24x = 2,204.19 × 934.54
  4. Step 4: Simplify right side
    1,597.24x = 2,059,903.72
  5. Step 5: Solve for x
    x = 2,059,903.72/1,597.24
  6. Step 6: Final answer
    x = 1,289.66

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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.