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Finding the Fourth Proportional to 2,258.56, 3,383.96 and 2,030.30

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Solution

The fourth proportional to 2,258.56, 3,383.96 and 2,030.30 is: 3,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.56 : 3,383.96 = 2,030.30 : x
  2. Step 2: Convert to fraction form
    2,258.56/3,383.96 = 2,030.30/x
  3. Step 3: Cross multiply
    2,258.56x = 3,383.96 × 2,030.30
  4. Step 4: Simplify right side
    2,258.56x = 6,870,453.99
  5. Step 5: Solve for x
    x = 6,870,453.99/2,258.56
  6. Step 6: Final answer
    x = 3,041.96

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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.