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Finding the Fourth Proportional to 2,662.74, 3,994.02 and 714.90

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Solution

The fourth proportional to 2,662.74, 3,994.02 and 714.90 is: 1,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.74 : 3,994.02 = 714.90 : x
  2. Step 2: Convert to fraction form
    2,662.74/3,994.02 = 714.90/x
  3. Step 3: Cross multiply
    2,662.74x = 3,994.02 × 714.90
  4. Step 4: Simplify right side
    2,662.74x = 2,855,324.90
  5. Step 5: Solve for x
    x = 2,855,324.90/2,662.74
  6. Step 6: Final answer
    x = 1,072.33

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