Home / 2,313.23-3,470.00-852.49

Finding the Fourth Proportional to 2,313.23, 3,470.00 and 852.49

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Solution

The fourth proportional to 2,313.23, 3,470.00 and 852.49 is: 1,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.23 : 3,470.00 = 852.49 : x
  2. Step 2: Convert to fraction form
    2,313.23/3,470.00 = 852.49/x
  3. Step 3: Cross multiply
    2,313.23x = 3,470.00 × 852.49
  4. Step 4: Simplify right side
    2,313.23x = 2,958,125.08
  5. Step 5: Solve for x
    x = 2,958,125.08/2,313.23
  6. Step 6: Final answer
    x = 1,278.79

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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.