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Finding the Fourth Proportional to 2,536.84, 3,805.98 and 893.44

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Solution

The fourth proportional to 2,536.84, 3,805.98 and 893.44 is: 1,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.84 : 3,805.98 = 893.44 : x
  2. Step 2: Convert to fraction form
    2,536.84/3,805.98 = 893.44/x
  3. Step 3: Cross multiply
    2,536.84x = 3,805.98 × 893.44
  4. Step 4: Simplify right side
    2,536.84x = 3,400,414.77
  5. Step 5: Solve for x
    x = 3,400,414.77/2,536.84
  6. Step 6: Final answer
    x = 1,340.41

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1.5x scale

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.