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Finding the Fourth Proportional to 2,050.76, 2,830.07 and 1,119.26

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Solution

The fourth proportional to 2,050.76, 2,830.07 and 1,119.26 is: 1,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.76 : 2,830.07 = 1,119.26 : x
  2. Step 2: Convert to fraction form
    2,050.76/2,830.07 = 1,119.26/x
  3. Step 3: Cross multiply
    2,050.76x = 2,830.07 × 1,119.26
  4. Step 4: Simplify right side
    2,050.76x = 3,167,584.15
  5. Step 5: Solve for x
    x = 3,167,584.15/2,050.76
  6. Step 6: Final answer
    x = 1,544.59

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