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Finding the Fourth Proportional to 2,763.48, 3,788.70 and 2,714.34

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Solution

The fourth proportional to 2,763.48, 3,788.70 and 2,714.34 is: 3,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.48 : 3,788.70 = 2,714.34 : x
  2. Step 2: Convert to fraction form
    2,763.48/3,788.70 = 2,714.34/x
  3. Step 3: Cross multiply
    2,763.48x = 3,788.70 × 2,714.34
  4. Step 4: Simplify right side
    2,763.48x = 10,283,819.96
  5. Step 5: Solve for x
    x = 10,283,819.96/2,763.48
  6. Step 6: Final answer
    x = 3,721.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.