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Finding the Fourth Proportional to 2,762.75, 4,145.52 and 1,119.35

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Solution

The fourth proportional to 2,762.75, 4,145.52 and 1,119.35 is: 1,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.75 : 4,145.52 = 1,119.35 : x
  2. Step 2: Convert to fraction form
    2,762.75/4,145.52 = 1,119.35/x
  3. Step 3: Cross multiply
    2,762.75x = 4,145.52 × 1,119.35
  4. Step 4: Simplify right side
    2,762.75x = 4,640,287.81
  5. Step 5: Solve for x
    x = 4,640,287.81/2,762.75
  6. Step 6: Final answer
    x = 1,679.59

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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.