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Finding the Fourth Proportional to 2,976.99, 4,464.08 and 1,102.26

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Solution

The fourth proportional to 2,976.99, 4,464.08 and 1,102.26 is: 1,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.99 : 4,464.08 = 1,102.26 : x
  2. Step 2: Convert to fraction form
    2,976.99/4,464.08 = 1,102.26/x
  3. Step 3: Cross multiply
    2,976.99x = 4,464.08 × 1,102.26
  4. Step 4: Simplify right side
    2,976.99x = 4,920,576.82
  5. Step 5: Solve for x
    x = 4,920,576.82/2,976.99
  6. Step 6: Final answer
    x = 1,652.87

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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.