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Finding the Fourth Proportional to 2,409.96, 3,327.27 and 1,968.90

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Solution

The fourth proportional to 2,409.96, 3,327.27 and 1,968.90 is: 2,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.96 : 3,327.27 = 1,968.90 : x
  2. Step 2: Convert to fraction form
    2,409.96/3,327.27 = 1,968.90/x
  3. Step 3: Cross multiply
    2,409.96x = 3,327.27 × 1,968.90
  4. Step 4: Simplify right side
    2,409.96x = 6,551,061.90
  5. Step 5: Solve for x
    x = 6,551,061.90/2,409.96
  6. Step 6: Final answer
    x = 2,718.33

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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.