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Finding the Fourth Proportional to 1,974.55, 2,959 and 1,450.44

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Solution

The fourth proportional to 1,974.55, 2,959 and 1,450.44 is: 2,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.55 : 2,959 = 1,450.44 : x
  2. Step 2: Convert to fraction form
    1,974.55/2,959 = 1,450.44/x
  3. Step 3: Cross multiply
    1,974.55x = 2,959 × 1,450.44
  4. Step 4: Simplify right side
    1,974.55x = 4,291,851.96
  5. Step 5: Solve for x
    x = 4,291,851.96/1,974.55
  6. Step 6: Final answer
    x = 2,173.58

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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.