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Finding the Fourth Proportional to 2,833.52, 4,250.30 and 2,709.60

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Solution

The fourth proportional to 2,833.52, 4,250.30 and 2,709.60 is: 4,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.52 : 4,250.30 = 2,709.60 : x
  2. Step 2: Convert to fraction form
    2,833.52/4,250.30 = 2,709.60/x
  3. Step 3: Cross multiply
    2,833.52x = 4,250.30 × 2,709.60
  4. Step 4: Simplify right side
    2,833.52x = 11,516,612.88
  5. Step 5: Solve for x
    x = 11,516,612.88/2,833.52
  6. Step 6: Final answer
    x = 4,064.42

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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.