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Finding the Fourth Proportional to 2,822.44, 3,895.16 and 1,580.44

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Solution

The fourth proportional to 2,822.44, 3,895.16 and 1,580.44 is: 2,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.44 : 3,895.16 = 1,580.44 : x
  2. Step 2: Convert to fraction form
    2,822.44/3,895.16 = 1,580.44/x
  3. Step 3: Cross multiply
    2,822.44x = 3,895.16 × 1,580.44
  4. Step 4: Simplify right side
    2,822.44x = 6,156,066.67
  5. Step 5: Solve for x
    x = 6,156,066.67/2,822.44
  6. Step 6: Final answer
    x = 2,181.12

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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.