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Finding the Fourth Proportional to 2,762.75, 4,144.10 and 1,119.27

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Solution

The fourth proportional to 2,762.75, 4,144.10 and 1,119.27 is: 1,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.75 : 4,144.10 = 1,119.27 : x
  2. Step 2: Convert to fraction form
    2,762.75/4,144.10 = 1,119.27/x
  3. Step 3: Cross multiply
    2,762.75x = 4,144.10 × 1,119.27
  4. Step 4: Simplify right side
    2,762.75x = 4,638,366.81
  5. Step 5: Solve for x
    x = 4,638,366.81/2,762.75
  6. Step 6: Final answer
    x = 1,678.89

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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.