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Finding the Fourth Proportional to 1,884.86, 2,601.17 and 1,138.67

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Solution

The fourth proportional to 1,884.86, 2,601.17 and 1,138.67 is: 1,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.86 : 2,601.17 = 1,138.67 : x
  2. Step 2: Convert to fraction form
    1,884.86/2,601.17 = 1,138.67/x
  3. Step 3: Cross multiply
    1,884.86x = 2,601.17 × 1,138.67
  4. Step 4: Simplify right side
    1,884.86x = 2,961,874.24
  5. Step 5: Solve for x
    x = 2,961,874.24/1,884.86
  6. Step 6: Final answer
    x = 1,571.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.