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Finding the Fourth Proportional to 2,258.45, 3,388.24 and 777.70

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Solution

The fourth proportional to 2,258.45, 3,388.24 and 777.70 is: 1,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.45 : 3,388.24 = 777.70 : x
  2. Step 2: Convert to fraction form
    2,258.45/3,388.24 = 777.70/x
  3. Step 3: Cross multiply
    2,258.45x = 3,388.24 × 777.70
  4. Step 4: Simplify right side
    2,258.45x = 2,635,034.25
  5. Step 5: Solve for x
    x = 2,635,034.25/2,258.45
  6. Step 6: Final answer
    x = 1,166.74

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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.