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Finding the Fourth Proportional to 2,738.16, 4,106.86 and 889.30

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Solution

The fourth proportional to 2,738.16, 4,106.86 and 889.30 is: 1,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.16 : 4,106.86 = 889.30 : x
  2. Step 2: Convert to fraction form
    2,738.16/4,106.86 = 889.30/x
  3. Step 3: Cross multiply
    2,738.16x = 4,106.86 × 889.30
  4. Step 4: Simplify right side
    2,738.16x = 3,652,226.15
  5. Step 5: Solve for x
    x = 3,652,226.15/2,738.16
  6. Step 6: Final answer
    x = 1,333.82

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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.