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Finding the Fourth Proportional to 2,313.44, 3,470.15 and 582.06

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Solution

The fourth proportional to 2,313.44, 3,470.15 and 582.06 is: 873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.44 : 3,470.15 = 582.06 : x
  2. Step 2: Convert to fraction form
    2,313.44/3,470.15 = 582.06/x
  3. Step 3: Cross multiply
    2,313.44x = 3,470.15 × 582.06
  4. Step 4: Simplify right side
    2,313.44x = 2,019,835.51
  5. Step 5: Solve for x
    x = 2,019,835.51/2,313.44
  6. Step 6: Final answer
    x = 873.09

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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.