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Finding the Fourth Proportional to 2,846.35, 4,268.91 and 897.49

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Solution

The fourth proportional to 2,846.35, 4,268.91 and 897.49 is: 1,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.35 : 4,268.91 = 897.49 : x
  2. Step 2: Convert to fraction form
    2,846.35/4,268.91 = 897.49/x
  3. Step 3: Cross multiply
    2,846.35x = 4,268.91 × 897.49
  4. Step 4: Simplify right side
    2,846.35x = 3,831,304.04
  5. Step 5: Solve for x
    x = 3,831,304.04/2,846.35
  6. Step 6: Final answer
    x = 1,346.04

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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.