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Finding the Fourth Proportional to 1,634.25, 2,250.13 and 1,442.42

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Solution

The fourth proportional to 1,634.25, 2,250.13 and 1,442.42 is: 1,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.25 : 2,250.13 = 1,442.42 : x
  2. Step 2: Convert to fraction form
    1,634.25/2,250.13 = 1,442.42/x
  3. Step 3: Cross multiply
    1,634.25x = 2,250.13 × 1,442.42
  4. Step 4: Simplify right side
    1,634.25x = 3,245,632.51
  5. Step 5: Solve for x
    x = 3,245,632.51/1,634.25
  6. Step 6: Final answer
    x = 1,986.01

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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.