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Finding the Fourth Proportional to 2,313.76, 3,470.36 and 582.24

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Solution

The fourth proportional to 2,313.76, 3,470.36 and 582.24 is: 873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.76 : 3,470.36 = 582.24 : x
  2. Step 2: Convert to fraction form
    2,313.76/3,470.36 = 582.24/x
  3. Step 3: Cross multiply
    2,313.76x = 3,470.36 × 582.24
  4. Step 4: Simplify right side
    2,313.76x = 2,020,582.41
  5. Step 5: Solve for x
    x = 2,020,582.41/2,313.76
  6. Step 6: Final answer
    x = 873.29

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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.