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Finding the Fourth Proportional to 2,893.44, 4,339.37 and 813.32

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Solution

The fourth proportional to 2,893.44, 4,339.37 and 813.32 is: 1,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.44 : 4,339.37 = 813.32 : x
  2. Step 2: Convert to fraction form
    2,893.44/4,339.37 = 813.32/x
  3. Step 3: Cross multiply
    2,893.44x = 4,339.37 × 813.32
  4. Step 4: Simplify right side
    2,893.44x = 3,529,276.74
  5. Step 5: Solve for x
    x = 3,529,276.74/2,893.44
  6. Step 6: Final answer
    x = 1,219.75

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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.