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Finding the Fourth Proportional to 2,393.28, 3,593.94 and 1,470.68

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Solution

The fourth proportional to 2,393.28, 3,593.94 and 1,470.68 is: 2,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.28 : 3,593.94 = 1,470.68 : x
  2. Step 2: Convert to fraction form
    2,393.28/3,593.94 = 1,470.68/x
  3. Step 3: Cross multiply
    2,393.28x = 3,593.94 × 1,470.68
  4. Step 4: Simplify right side
    2,393.28x = 5,285,535.68
  5. Step 5: Solve for x
    x = 5,285,535.68/2,393.28
  6. Step 6: Final answer
    x = 2,208.49

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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.