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Finding the Fourth Proportional to 2,821.50, 3,894.08 and 1,642.95

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Solution

The fourth proportional to 2,821.50, 3,894.08 and 1,642.95 is: 2,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.50 : 3,894.08 = 1,642.95 : x
  2. Step 2: Convert to fraction form
    2,821.50/3,894.08 = 1,642.95/x
  3. Step 3: Cross multiply
    2,821.50x = 3,894.08 × 1,642.95
  4. Step 4: Simplify right side
    2,821.50x = 6,397,778.74
  5. Step 5: Solve for x
    x = 6,397,778.74/2,821.50
  6. Step 6: Final answer
    x = 2,267.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.