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Finding the Fourth Proportional to 2,059.62, 2,842.30 and 1,128.12

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Solution

The fourth proportional to 2,059.62, 2,842.30 and 1,128.12 is: 1,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.62 : 2,842.30 = 1,128.12 : x
  2. Step 2: Convert to fraction form
    2,059.62/2,842.30 = 1,128.12/x
  3. Step 3: Cross multiply
    2,059.62x = 2,842.30 × 1,128.12
  4. Step 4: Simplify right side
    2,059.62x = 3,206,455.48
  5. Step 5: Solve for x
    x = 3,206,455.48/2,059.62
  6. Step 6: Final answer
    x = 1,556.82

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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.