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Finding the Fourth Proportional to 2,807.90, 4,214.40 and 1,422.20

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Solution

The fourth proportional to 2,807.90, 4,214.40 and 1,422.20 is: 2,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.90 : 4,214.40 = 1,422.20 : x
  2. Step 2: Convert to fraction form
    2,807.90/4,214.40 = 1,422.20/x
  3. Step 3: Cross multiply
    2,807.90x = 4,214.40 × 1,422.20
  4. Step 4: Simplify right side
    2,807.90x = 5,993,719.68
  5. Step 5: Solve for x
    x = 5,993,719.68/2,807.90
  6. Step 6: Final answer
    x = 2,134.59

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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.