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Finding the Fourth Proportional to 1,984.08, 2,978.40 and 1,162.94

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Solution

The fourth proportional to 1,984.08, 2,978.40 and 1,162.94 is: 1,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.08 : 2,978.40 = 1,162.94 : x
  2. Step 2: Convert to fraction form
    1,984.08/2,978.40 = 1,162.94/x
  3. Step 3: Cross multiply
    1,984.08x = 2,978.40 × 1,162.94
  4. Step 4: Simplify right side
    1,984.08x = 3,463,700.50
  5. Step 5: Solve for x
    x = 3,463,700.50/1,984.08
  6. Step 6: Final answer
    x = 1,745.75

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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.