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Finding the Fourth Proportional to 2,313.69, 3,470.53 and 582.31

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Solution

The fourth proportional to 2,313.69, 3,470.53 and 582.31 is: 873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.69 : 3,470.53 = 582.31 : x
  2. Step 2: Convert to fraction form
    2,313.69/3,470.53 = 582.31/x
  3. Step 3: Cross multiply
    2,313.69x = 3,470.53 × 582.31
  4. Step 4: Simplify right side
    2,313.69x = 2,020,924.32
  5. Step 5: Solve for x
    x = 2,020,924.32/2,313.69
  6. Step 6: Final answer
    x = 873.46

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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.