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Finding the Fourth Proportional to 2,712.56, 3,743.34 and 1,470.56

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Solution

The fourth proportional to 2,712.56, 3,743.34 and 1,470.56 is: 2,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.56 : 3,743.34 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    2,712.56/3,743.34 = 1,470.56/x
  3. Step 3: Cross multiply
    2,712.56x = 3,743.34 × 1,470.56
  4. Step 4: Simplify right side
    2,712.56x = 5,504,806.07
  5. Step 5: Solve for x
    x = 5,504,806.07/2,712.56
  6. Step 6: Final answer
    x = 2,029.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.