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Finding the Fourth Proportional to 2,313.87, 3,470.76 and 582.48

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Solution

The fourth proportional to 2,313.87, 3,470.76 and 582.48 is: 873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.87 : 3,470.76 = 582.48 : x
  2. Step 2: Convert to fraction form
    2,313.87/3,470.76 = 582.48/x
  3. Step 3: Cross multiply
    2,313.87x = 3,470.76 × 582.48
  4. Step 4: Simplify right side
    2,313.87x = 2,021,648.28
  5. Step 5: Solve for x
    x = 2,021,648.28/2,313.87
  6. Step 6: Final answer
    x = 873.71

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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.