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Finding the Fourth Proportional to 2,792.06, 3,851 and 1,798.34

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Solution

The fourth proportional to 2,792.06, 3,851 and 1,798.34 is: 2,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.06 : 3,851 = 1,798.34 : x
  2. Step 2: Convert to fraction form
    2,792.06/3,851 = 1,798.34/x
  3. Step 3: Cross multiply
    2,792.06x = 3,851 × 1,798.34
  4. Step 4: Simplify right side
    2,792.06x = 6,925,407.34
  5. Step 5: Solve for x
    x = 6,925,407.34/2,792.06
  6. Step 6: Final answer
    x = 2,480.39

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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.