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Finding the Fourth Proportional to 2,745.77, 4,118.31 and 896.40

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Solution

The fourth proportional to 2,745.77, 4,118.31 and 896.40 is: 1,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.77 : 4,118.31 = 896.40 : x
  2. Step 2: Convert to fraction form
    2,745.77/4,118.31 = 896.40/x
  3. Step 3: Cross multiply
    2,745.77x = 4,118.31 × 896.40
  4. Step 4: Simplify right side
    2,745.77x = 3,691,653.08
  5. Step 5: Solve for x
    x = 3,691,653.08/2,745.77
  6. Step 6: Final answer
    x = 1,344.49

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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.