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Finding the Fourth Proportional to 2,822.02, 3,894.40 and 1,643.46

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Solution

The fourth proportional to 2,822.02, 3,894.40 and 1,643.46 is: 2,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.02 : 3,894.40 = 1,643.46 : x
  2. Step 2: Convert to fraction form
    2,822.02/3,894.40 = 1,643.46/x
  3. Step 3: Cross multiply
    2,822.02x = 3,894.40 × 1,643.46
  4. Step 4: Simplify right side
    2,822.02x = 6,400,290.62
  5. Step 5: Solve for x
    x = 6,400,290.62/2,822.02
  6. Step 6: Final answer
    x = 2,267.98

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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.