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Finding the Fourth Proportional to 2,662.49, 3,994.28 and 907.35

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Solution

The fourth proportional to 2,662.49, 3,994.28 and 907.35 is: 1,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.49 : 3,994.28 = 907.35 : x
  2. Step 2: Convert to fraction form
    2,662.49/3,994.28 = 907.35/x
  3. Step 3: Cross multiply
    2,662.49x = 3,994.28 × 907.35
  4. Step 4: Simplify right side
    2,662.49x = 3,624,212.23
  5. Step 5: Solve for x
    x = 3,624,212.23/2,662.49
  6. Step 6: Final answer
    x = 1,361.21

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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.