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Finding the Fourth Proportional to 2,845.36, 4,268.22 and 897.64

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Solution

The fourth proportional to 2,845.36, 4,268.22 and 897.64 is: 1,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.36 : 4,268.22 = 897.64 : x
  2. Step 2: Convert to fraction form
    2,845.36/4,268.22 = 897.64/x
  3. Step 3: Cross multiply
    2,845.36x = 4,268.22 × 897.64
  4. Step 4: Simplify right side
    2,845.36x = 3,831,325.00
  5. Step 5: Solve for x
    x = 3,831,325.00/2,845.36
  6. Step 6: Final answer
    x = 1,346.52

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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.