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Finding the Fourth Proportional to 2,821.80, 3,894.26 and 1,702.92

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Solution

The fourth proportional to 2,821.80, 3,894.26 and 1,702.92 is: 2,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.80 : 3,894.26 = 1,702.92 : x
  2. Step 2: Convert to fraction form
    2,821.80/3,894.26 = 1,702.92/x
  3. Step 3: Cross multiply
    2,821.80x = 3,894.26 × 1,702.92
  4. Step 4: Simplify right side
    2,821.80x = 6,631,628.91
  5. Step 5: Solve for x
    x = 6,631,628.91/2,821.80
  6. Step 6: Final answer
    x = 2,350.14

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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.