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Finding the Fourth Proportional to 1,850.82, 2,554.13 and 1,022.82

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Solution

The fourth proportional to 1,850.82, 2,554.13 and 1,022.82 is: 1,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.82 : 2,554.13 = 1,022.82 : x
  2. Step 2: Convert to fraction form
    1,850.82/2,554.13 = 1,022.82/x
  3. Step 3: Cross multiply
    1,850.82x = 2,554.13 × 1,022.82
  4. Step 4: Simplify right side
    1,850.82x = 2,612,397.36
  5. Step 5: Solve for x
    x = 2,612,397.36/1,850.82
  6. Step 6: Final answer
    x = 1,411.48

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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.