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Finding the Fourth Proportional to 1,474.10, 2,033.41 and 884.29

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Solution

The fourth proportional to 1,474.10, 2,033.41 and 884.29 is: 1,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.10 : 2,033.41 = 884.29 : x
  2. Step 2: Convert to fraction form
    1,474.10/2,033.41 = 884.29/x
  3. Step 3: Cross multiply
    1,474.10x = 2,033.41 × 884.29
  4. Step 4: Simplify right side
    1,474.10x = 1,798,119.71
  5. Step 5: Solve for x
    x = 1,798,119.71/1,474.10
  6. Step 6: Final answer
    x = 1,219.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.