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Finding the Fourth Proportional to 2,258.93, 3,388.91 and 942.91

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Solution

The fourth proportional to 2,258.93, 3,388.91 and 942.91 is: 1,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.93 : 3,388.91 = 942.91 : x
  2. Step 2: Convert to fraction form
    2,258.93/3,388.91 = 942.91/x
  3. Step 3: Cross multiply
    2,258.93x = 3,388.91 × 942.91
  4. Step 4: Simplify right side
    2,258.93x = 3,195,437.13
  5. Step 5: Solve for x
    x = 3,195,437.13/2,258.93
  6. Step 6: Final answer
    x = 1,414.58

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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.