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Finding the Fourth Proportional to 2,258.88, 3,389.44 and 1,026.18

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Solution

The fourth proportional to 2,258.88, 3,389.44 and 1,026.18 is: 1,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.88 : 3,389.44 = 1,026.18 : x
  2. Step 2: Convert to fraction form
    2,258.88/3,389.44 = 1,026.18/x
  3. Step 3: Cross multiply
    2,258.88x = 3,389.44 × 1,026.18
  4. Step 4: Simplify right side
    2,258.88x = 3,478,175.54
  5. Step 5: Solve for x
    x = 3,478,175.54/2,258.88
  6. Step 6: Final answer
    x = 1,539.78

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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.