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Finding the Fourth Proportional to 1,894.95, 2,840.20 and 853.74

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Solution

The fourth proportional to 1,894.95, 2,840.20 and 853.74 is: 1,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.95 : 2,840.20 = 853.74 : x
  2. Step 2: Convert to fraction form
    1,894.95/2,840.20 = 853.74/x
  3. Step 3: Cross multiply
    1,894.95x = 2,840.20 × 853.74
  4. Step 4: Simplify right side
    1,894.95x = 2,424,790.21
  5. Step 5: Solve for x
    x = 2,424,790.21/1,894.95
  6. Step 6: Final answer
    x = 1,279.61

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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.