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Finding the Fourth Proportional to 2,768.86, 4,153.22 and 1,124.96

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Solution

The fourth proportional to 2,768.86, 4,153.22 and 1,124.96 is: 1,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.86 : 4,153.22 = 1,124.96 : x
  2. Step 2: Convert to fraction form
    2,768.86/4,153.22 = 1,124.96/x
  3. Step 3: Cross multiply
    2,768.86x = 4,153.22 × 1,124.96
  4. Step 4: Simplify right side
    2,768.86x = 4,672,206.37
  5. Step 5: Solve for x
    x = 4,672,206.37/2,768.86
  6. Step 6: Final answer
    x = 1,687.41

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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.