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Finding the Fourth Proportional to 2,813.90, 4,216.20 and 1,251.56

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Solution

The fourth proportional to 2,813.90, 4,216.20 and 1,251.56 is: 1,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.90 : 4,216.20 = 1,251.56 : x
  2. Step 2: Convert to fraction form
    2,813.90/4,216.20 = 1,251.56/x
  3. Step 3: Cross multiply
    2,813.90x = 4,216.20 × 1,251.56
  4. Step 4: Simplify right side
    2,813.90x = 5,276,827.27
  5. Step 5: Solve for x
    x = 5,276,827.27/2,813.90
  6. Step 6: Final answer
    x = 1,875.27

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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.