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Finding the Fourth Proportional to 2,449.98, 3,675.31 and 1,409.74

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Solution

The fourth proportional to 2,449.98, 3,675.31 and 1,409.74 is: 2,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.98 : 3,675.31 = 1,409.74 : x
  2. Step 2: Convert to fraction form
    2,449.98/3,675.31 = 1,409.74/x
  3. Step 3: Cross multiply
    2,449.98x = 3,675.31 × 1,409.74
  4. Step 4: Simplify right side
    2,449.98x = 5,181,218.81
  5. Step 5: Solve for x
    x = 5,181,218.81/2,449.98
  6. Step 6: Final answer
    x = 2,114.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.