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Finding the Fourth Proportional to 2,808.52, 4,215.38 and 1,422.84

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Solution

The fourth proportional to 2,808.52, 4,215.38 and 1,422.84 is: 2,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.52 : 4,215.38 = 1,422.84 : x
  2. Step 2: Convert to fraction form
    2,808.52/4,215.38 = 1,422.84/x
  3. Step 3: Cross multiply
    2,808.52x = 4,215.38 × 1,422.84
  4. Step 4: Simplify right side
    2,808.52x = 5,997,811.28
  5. Step 5: Solve for x
    x = 5,997,811.28/2,808.52
  6. Step 6: Final answer
    x = 2,135.58

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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.