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Finding the Fourth Proportional to 1,798.29, 2,679.80 and 1,739.57

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Solution

The fourth proportional to 1,798.29, 2,679.80 and 1,739.57 is: 2,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.29 : 2,679.80 = 1,739.57 : x
  2. Step 2: Convert to fraction form
    1,798.29/2,679.80 = 1,739.57/x
  3. Step 3: Cross multiply
    1,798.29x = 2,679.80 × 1,739.57
  4. Step 4: Simplify right side
    1,798.29x = 4,661,684.11
  5. Step 5: Solve for x
    x = 4,661,684.11/1,798.29
  6. Step 6: Final answer
    x = 2,592.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.