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Finding the Fourth Proportional to 2,797.38, 3,860.82 and 1,602.41

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Solution

The fourth proportional to 2,797.38, 3,860.82 and 1,602.41 is: 2,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.38 : 3,860.82 = 1,602.41 : x
  2. Step 2: Convert to fraction form
    2,797.38/3,860.82 = 1,602.41/x
  3. Step 3: Cross multiply
    2,797.38x = 3,860.82 × 1,602.41
  4. Step 4: Simplify right side
    2,797.38x = 6,186,597.27
  5. Step 5: Solve for x
    x = 6,186,597.27/2,797.38
  6. Step 6: Final answer
    x = 2,211.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.