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Finding the Fourth Proportional to 1,879.98, 2,596.23 and 1,549.50

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Solution

The fourth proportional to 1,879.98, 2,596.23 and 1,549.50 is: 2,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.98 : 2,596.23 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    1,879.98/2,596.23 = 1,549.50/x
  3. Step 3: Cross multiply
    1,879.98x = 2,596.23 × 1,549.50
  4. Step 4: Simplify right side
    1,879.98x = 4,022,858.39
  5. Step 5: Solve for x
    x = 4,022,858.39/1,879.98
  6. Step 6: Final answer
    x = 2,139.84

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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.