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Finding the Fourth Proportional to 2,822.02, 3,894.48 and 1,876.16

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Solution

The fourth proportional to 2,822.02, 3,894.48 and 1,876.16 is: 2,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.02 : 3,894.48 = 1,876.16 : x
  2. Step 2: Convert to fraction form
    2,822.02/3,894.48 = 1,876.16/x
  3. Step 3: Cross multiply
    2,822.02x = 3,894.48 × 1,876.16
  4. Step 4: Simplify right side
    2,822.02x = 7,306,667.60
  5. Step 5: Solve for x
    x = 7,306,667.60/2,822.02
  6. Step 6: Final answer
    x = 2,589.16

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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.