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Finding the Fourth Proportional to 1,474.10, 2,033.82 and 884.42

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Solution

The fourth proportional to 1,474.10, 2,033.82 and 884.42 is: 1,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.10 : 2,033.82 = 884.42 : x
  2. Step 2: Convert to fraction form
    1,474.10/2,033.82 = 884.42/x
  3. Step 3: Cross multiply
    1,474.10x = 2,033.82 × 884.42
  4. Step 4: Simplify right side
    1,474.10x = 1,798,751.08
  5. Step 5: Solve for x
    x = 1,798,751.08/1,474.10
  6. Step 6: Final answer
    x = 1,220.24

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1.5x scale

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.