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Finding the Fourth Proportional to 2,313.52, 3,470.75 and 852.64

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Solution

The fourth proportional to 2,313.52, 3,470.75 and 852.64 is: 1,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.52 : 3,470.75 = 852.64 : x
  2. Step 2: Convert to fraction form
    2,313.52/3,470.75 = 852.64/x
  3. Step 3: Cross multiply
    2,313.52x = 3,470.75 × 852.64
  4. Step 4: Simplify right side
    2,313.52x = 2,959,300.28
  5. Step 5: Solve for x
    x = 2,959,300.28/2,313.52
  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.