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Finding the Fourth Proportional to 3,489.94, 4,816.12 and 1,896.60

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Solution

The fourth proportional to 3,489.94, 4,816.12 and 1,896.60 is: 2,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.94 : 4,816.12 = 1,896.60 : x
  2. Step 2: Convert to fraction form
    3,489.94/4,816.12 = 1,896.60/x
  3. Step 3: Cross multiply
    3,489.94x = 4,816.12 × 1,896.60
  4. Step 4: Simplify right side
    3,489.94x = 9,134,253.19
  5. Step 5: Solve for x
    x = 9,134,253.19/3,489.94
  6. Step 6: Final answer
    x = 2,617.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.