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Finding the Fourth Proportional to 1,894.94, 2,842.41 and 853.73

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Solution

The fourth proportional to 1,894.94, 2,842.41 and 853.73 is: 1,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.94 : 2,842.41 = 853.73 : x
  2. Step 2: Convert to fraction form
    1,894.94/2,842.41 = 853.73/x
  3. Step 3: Cross multiply
    1,894.94x = 2,842.41 × 853.73
  4. Step 4: Simplify right side
    1,894.94x = 2,426,632.21
  5. Step 5: Solve for x
    x = 2,426,632.21/1,894.94
  6. Step 6: Final answer
    x = 1,280.59

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1.5x scale

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.