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Finding the Fourth Proportional to 2,059.52, 2,842.14 and 1,128

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Solution

The fourth proportional to 2,059.52, 2,842.14 and 1,128 is: 1,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.52 : 2,842.14 = 1,128 : x
  2. Step 2: Convert to fraction form
    2,059.52/2,842.14 = 1,128/x
  3. Step 3: Cross multiply
    2,059.52x = 2,842.14 × 1,128
  4. Step 4: Simplify right side
    2,059.52x = 3,205,933.92
  5. Step 5: Solve for x
    x = 3,205,933.92/2,059.52
  6. Step 6: Final answer
    x = 1,556.64

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Why These Related Problems?

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