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Finding the Fourth Proportional to 2,108.52, 2,905.38 and 1,792.68

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Solution

The fourth proportional to 2,108.52, 2,905.38 and 1,792.68 is: 2,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.52 : 2,905.38 = 1,792.68 : x
  2. Step 2: Convert to fraction form
    2,108.52/2,905.38 = 1,792.68/x
  3. Step 3: Cross multiply
    2,108.52x = 2,905.38 × 1,792.68
  4. Step 4: Simplify right side
    2,108.52x = 5,208,416.62
  5. Step 5: Solve for x
    x = 5,208,416.62/2,108.52
  6. Step 6: Final answer
    x = 2,470.18

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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.