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Finding the Fourth Proportional to 2,274.75, 3,412.13 and 907.71

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Solution

The fourth proportional to 2,274.75, 3,412.13 and 907.71 is: 1,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.75 : 3,412.13 = 907.71 : x
  2. Step 2: Convert to fraction form
    2,274.75/3,412.13 = 907.71/x
  3. Step 3: Cross multiply
    2,274.75x = 3,412.13 × 907.71
  4. Step 4: Simplify right side
    2,274.75x = 3,097,219.98
  5. Step 5: Solve for x
    x = 3,097,219.98/2,274.75
  6. Step 6: Final answer
    x = 1,361.57

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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.