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Finding the Fourth Proportional to 2,809.96, 4,215.12 and 1,422.32

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Solution

The fourth proportional to 2,809.96, 4,215.12 and 1,422.32 is: 2,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.96 : 4,215.12 = 1,422.32 : x
  2. Step 2: Convert to fraction form
    2,809.96/4,215.12 = 1,422.32/x
  3. Step 3: Cross multiply
    2,809.96x = 4,215.12 × 1,422.32
  4. Step 4: Simplify right side
    2,809.96x = 5,995,249.48
  5. Step 5: Solve for x
    x = 5,995,249.48/2,809.96
  6. Step 6: Final answer
    x = 2,133.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.