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Finding the Fourth Proportional to 2,313.90, 3,470.92 and 582.56

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Solution

The fourth proportional to 2,313.90, 3,470.92 and 582.56 is: 873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.90 : 3,470.92 = 582.56 : x
  2. Step 2: Convert to fraction form
    2,313.90/3,470.92 = 582.56/x
  3. Step 3: Cross multiply
    2,313.90x = 3,470.92 × 582.56
  4. Step 4: Simplify right side
    2,313.90x = 2,022,019.16
  5. Step 5: Solve for x
    x = 2,022,019.16/2,313.90
  6. Step 6: Final answer
    x = 873.86

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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.