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Finding the Fourth Proportional to 2,313.48, 3,470.21 and 1,081.47

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Solution

The fourth proportional to 2,313.48, 3,470.21 and 1,081.47 is: 1,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.48 : 3,470.21 = 1,081.47 : x
  2. Step 2: Convert to fraction form
    2,313.48/3,470.21 = 1,081.47/x
  3. Step 3: Cross multiply
    2,313.48x = 3,470.21 × 1,081.47
  4. Step 4: Simplify right side
    2,313.48x = 3,752,922.60
  5. Step 5: Solve for x
    x = 3,752,922.60/2,313.48
  6. Step 6: Final answer
    x = 1,622.20

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1.5x scale

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.