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Finding the Fourth Proportional to 2,813.44, 4,210.44 and 1,944.04

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Solution

The fourth proportional to 2,813.44, 4,210.44 and 1,944.04 is: 2,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.44 : 4,210.44 = 1,944.04 : x
  2. Step 2: Convert to fraction form
    2,813.44/4,210.44 = 1,944.04/x
  3. Step 3: Cross multiply
    2,813.44x = 4,210.44 × 1,944.04
  4. Step 4: Simplify right side
    2,813.44x = 8,185,263.78
  5. Step 5: Solve for x
    x = 8,185,263.78/2,813.44
  6. Step 6: Final answer
    x = 2,909.34

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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.