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Finding the Fourth Proportional to 1,833.92, 2,749.76 and 1,257.60

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Solution

The fourth proportional to 1,833.92, 2,749.76 and 1,257.60 is: 1,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.92 : 2,749.76 = 1,257.60 : x
  2. Step 2: Convert to fraction form
    1,833.92/2,749.76 = 1,257.60/x
  3. Step 3: Cross multiply
    1,833.92x = 2,749.76 × 1,257.60
  4. Step 4: Simplify right side
    1,833.92x = 3,458,098.18
  5. Step 5: Solve for x
    x = 3,458,098.18/1,833.92
  6. Step 6: Final answer
    x = 1,885.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.