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Finding the Fourth Proportional to 2,258.72, 3,388.30 and 1,026.72

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Solution

The fourth proportional to 2,258.72, 3,388.30 and 1,026.72 is: 1,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.72 : 3,388.30 = 1,026.72 : x
  2. Step 2: Convert to fraction form
    2,258.72/3,388.30 = 1,026.72/x
  3. Step 3: Cross multiply
    2,258.72x = 3,388.30 × 1,026.72
  4. Step 4: Simplify right side
    2,258.72x = 3,478,835.38
  5. Step 5: Solve for x
    x = 3,478,835.38/2,258.72
  6. Step 6: Final answer
    x = 1,540.18

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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.