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Finding the Fourth Proportional to 2,842.37, 4,257.87 and 2,258.36

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Solution

The fourth proportional to 2,842.37, 4,257.87 and 2,258.36 is: 3,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.37 : 4,257.87 = 2,258.36 : x
  2. Step 2: Convert to fraction form
    2,842.37/4,257.87 = 2,258.36/x
  3. Step 3: Cross multiply
    2,842.37x = 4,257.87 × 2,258.36
  4. Step 4: Simplify right side
    2,842.37x = 9,615,803.29
  5. Step 5: Solve for x
    x = 9,615,803.29/2,842.37
  6. Step 6: Final answer
    x = 3,383.02

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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.