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Finding the Fourth Proportional to 1,894.85, 2,836.10 and 1,632.41

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Solution

The fourth proportional to 1,894.85, 2,836.10 and 1,632.41 is: 2,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.85 : 2,836.10 = 1,632.41 : x
  2. Step 2: Convert to fraction form
    1,894.85/2,836.10 = 1,632.41/x
  3. Step 3: Cross multiply
    1,894.85x = 2,836.10 × 1,632.41
  4. Step 4: Simplify right side
    1,894.85x = 4,629,667.90
  5. Step 5: Solve for x
    x = 4,629,667.90/1,894.85
  6. Step 6: Final answer
    x = 2,443.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.