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Finding the Fourth Proportional to 2,375.95, 3,559.74 and 1,449.31

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Solution

The fourth proportional to 2,375.95, 3,559.74 and 1,449.31 is: 2,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.95 : 3,559.74 = 1,449.31 : x
  2. Step 2: Convert to fraction form
    2,375.95/3,559.74 = 1,449.31/x
  3. Step 3: Cross multiply
    2,375.95x = 3,559.74 × 1,449.31
  4. Step 4: Simplify right side
    2,375.95x = 5,159,166.78
  5. Step 5: Solve for x
    x = 5,159,166.78/2,375.95
  6. Step 6: Final answer
    x = 2,171.41

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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.