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Finding the Fourth Proportional to 2,832.89, 4,230.24 and 2,313.91

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Solution

The fourth proportional to 2,832.89, 4,230.24 and 2,313.91 is: 3,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.89 : 4,230.24 = 2,313.91 : x
  2. Step 2: Convert to fraction form
    2,832.89/4,230.24 = 2,313.91/x
  3. Step 3: Cross multiply
    2,832.89x = 4,230.24 × 2,313.91
  4. Step 4: Simplify right side
    2,832.89x = 9,788,394.64
  5. Step 5: Solve for x
    x = 9,788,394.64/2,832.89
  6. Step 6: Final answer
    x = 3,455.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.