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Finding the Fourth Proportional to 2,313.50, 3,470.56 and 852.68

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Solution

The fourth proportional to 2,313.50, 3,470.56 and 852.68 is: 1,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.50 : 3,470.56 = 852.68 : x
  2. Step 2: Convert to fraction form
    2,313.50/3,470.56 = 852.68/x
  3. Step 3: Cross multiply
    2,313.50x = 3,470.56 × 852.68
  4. Step 4: Simplify right side
    2,313.50x = 2,959,277.10
  5. Step 5: Solve for x
    x = 2,959,277.10/2,313.50
  6. Step 6: Final answer
    x = 1,279.13

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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.