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Finding the Fourth Proportional to 3,071.48, 4,238.28 and 1,893.20

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Solution

The fourth proportional to 3,071.48, 4,238.28 and 1,893.20 is: 2,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.48 : 4,238.28 = 1,893.20 : x
  2. Step 2: Convert to fraction form
    3,071.48/4,238.28 = 1,893.20/x
  3. Step 3: Cross multiply
    3,071.48x = 4,238.28 × 1,893.20
  4. Step 4: Simplify right side
    3,071.48x = 8,023,911.70
  5. Step 5: Solve for x
    x = 8,023,911.70/3,071.48
  6. Step 6: Final answer
    x = 2,612.39

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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.