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Finding the Fourth Proportional to 2,258.58, 3,382.61 and 2,196.30

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Solution

The fourth proportional to 2,258.58, 3,382.61 and 2,196.30 is: 3,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.58 : 3,382.61 = 2,196.30 : x
  2. Step 2: Convert to fraction form
    2,258.58/3,382.61 = 2,196.30/x
  3. Step 3: Cross multiply
    2,258.58x = 3,382.61 × 2,196.30
  4. Step 4: Simplify right side
    2,258.58x = 7,429,231.83
  5. Step 5: Solve for x
    x = 7,429,231.83/2,258.58
  6. Step 6: Final answer
    x = 3,289.34

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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.