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Finding the Fourth Proportional to 2,810.70, 4,214.97 and 1,422.36

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Solution

The fourth proportional to 2,810.70, 4,214.97 and 1,422.36 is: 2,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.70 : 4,214.97 = 1,422.36 : x
  2. Step 2: Convert to fraction form
    2,810.70/4,214.97 = 1,422.36/x
  3. Step 3: Cross multiply
    2,810.70x = 4,214.97 × 1,422.36
  4. Step 4: Simplify right side
    2,810.70x = 5,995,204.73
  5. Step 5: Solve for x
    x = 5,995,204.73/2,810.70
  6. Step 6: Final answer
    x = 2,132.99

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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.