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Finding the Fourth Proportional to 2,762.99, 4,144.49 and 683.03

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Solution

The fourth proportional to 2,762.99, 4,144.49 and 683.03 is: 1,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.99 : 4,144.49 = 683.03 : x
  2. Step 2: Convert to fraction form
    2,762.99/4,144.49 = 683.03/x
  3. Step 3: Cross multiply
    2,762.99x = 4,144.49 × 683.03
  4. Step 4: Simplify right side
    2,762.99x = 2,830,811.00
  5. Step 5: Solve for x
    x = 2,830,811.00/2,762.99
  6. Step 6: Final answer
    x = 1,024.55

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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.