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Finding the Fourth Proportional to 2,313.73, 3,470.55 and 582.37

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Solution

The fourth proportional to 2,313.73, 3,470.55 and 582.37 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.73 : 3,470.55 = 582.37 : x
  2. Step 2: Convert to fraction form
    2,313.73/3,470.55 = 582.37/x
  3. Step 3: Cross multiply
    2,313.73x = 3,470.55 × 582.37
  4. Step 4: Simplify right side
    2,313.73x = 2,021,144.20
  5. Step 5: Solve for x
    x = 2,021,144.20/2,313.73
  6. Step 6: Final answer
    x = 873.54

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1.5x scale

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.