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Finding the Fourth Proportional to 1,958, 2,937.74 and 1,033.52

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Solution

The fourth proportional to 1,958, 2,937.74 and 1,033.52 is: 1,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958 : 2,937.74 = 1,033.52 : x
  2. Step 2: Convert to fraction form
    1,958/2,937.74 = 1,033.52/x
  3. Step 3: Cross multiply
    1,958x = 2,937.74 × 1,033.52
  4. Step 4: Simplify right side
    1,958x = 3,036,213.04
  5. Step 5: Solve for x
    x = 3,036,213.04/1,958
  6. Step 6: Final answer
    x = 1,550.67

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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.