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Finding the Fourth Proportional to 2,882.68, 4,322.47 and 907.94

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Solution

The fourth proportional to 2,882.68, 4,322.47 and 907.94 is: 1,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.68 : 4,322.47 = 907.94 : x
  2. Step 2: Convert to fraction form
    2,882.68/4,322.47 = 907.94/x
  3. Step 3: Cross multiply
    2,882.68x = 4,322.47 × 907.94
  4. Step 4: Simplify right side
    2,882.68x = 3,924,543.41
  5. Step 5: Solve for x
    x = 3,924,543.41/2,882.68
  6. Step 6: Final answer
    x = 1,361.42

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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.