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Finding the Fourth Proportional to 1,388.91, 2,078.10 and 1,183.98

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Solution

The fourth proportional to 1,388.91, 2,078.10 and 1,183.98 is: 1,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.91 : 2,078.10 = 1,183.98 : x
  2. Step 2: Convert to fraction form
    1,388.91/2,078.10 = 1,183.98/x
  3. Step 3: Cross multiply
    1,388.91x = 2,078.10 × 1,183.98
  4. Step 4: Simplify right side
    1,388.91x = 2,460,428.84
  5. Step 5: Solve for x
    x = 2,460,428.84/1,388.91
  6. Step 6: Final answer
    x = 1,771.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.