Home / 1,597.57-2,204.66-934.49

Finding the Fourth Proportional to 1,597.57, 2,204.66 and 934.49

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Solution

The fourth proportional to 1,597.57, 2,204.66 and 934.49 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.57 : 2,204.66 = 934.49 : x
  2. Step 2: Convert to fraction form
    1,597.57/2,204.66 = 934.49/x
  3. Step 3: Cross multiply
    1,597.57x = 2,204.66 × 934.49
  4. Step 4: Simplify right side
    1,597.57x = 2,060,232.72
  5. Step 5: Solve for x
    x = 2,060,232.72/1,597.57
  6. Step 6: Final answer
    x = 1,289.60

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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.