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Finding the Fourth Proportional to 2,536.56, 3,805.44 and 893.19

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Solution

The fourth proportional to 2,536.56, 3,805.44 and 893.19 is: 1,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.56 : 3,805.44 = 893.19 : x
  2. Step 2: Convert to fraction form
    2,536.56/3,805.44 = 893.19/x
  3. Step 3: Cross multiply
    2,536.56x = 3,805.44 × 893.19
  4. Step 4: Simplify right side
    2,536.56x = 3,398,980.95
  5. Step 5: Solve for x
    x = 3,398,980.95/2,536.56
  6. Step 6: Final answer
    x = 1,340.00

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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.