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Finding the Fourth Proportional to 2,798.09, 3,859.84 and 1,735.49

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Solution

The fourth proportional to 2,798.09, 3,859.84 and 1,735.49 is: 2,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.09 : 3,859.84 = 1,735.49 : x
  2. Step 2: Convert to fraction form
    2,798.09/3,859.84 = 1,735.49/x
  3. Step 3: Cross multiply
    2,798.09x = 3,859.84 × 1,735.49
  4. Step 4: Simplify right side
    2,798.09x = 6,698,715.78
  5. Step 5: Solve for x
    x = 6,698,715.78/2,798.09
  6. Step 6: Final answer
    x = 2,394.03

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