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Finding the Fourth Proportional to 2,883.94, 4,321.76 and 1,424.12

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Solution

The fourth proportional to 2,883.94, 4,321.76 and 1,424.12 is: 2,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.94 : 4,321.76 = 1,424.12 : x
  2. Step 2: Convert to fraction form
    2,883.94/4,321.76 = 1,424.12/x
  3. Step 3: Cross multiply
    2,883.94x = 4,321.76 × 1,424.12
  4. Step 4: Simplify right side
    2,883.94x = 6,154,676.12
  5. Step 5: Solve for x
    x = 6,154,676.12/2,883.94
  6. Step 6: Final answer
    x = 2,134.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.