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Finding the Fourth Proportional to 2,114.71, 3,174.80 and 1,454.36

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Solution

The fourth proportional to 2,114.71, 3,174.80 and 1,454.36 is: 2,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.71 : 3,174.80 = 1,454.36 : x
  2. Step 2: Convert to fraction form
    2,114.71/3,174.80 = 1,454.36/x
  3. Step 3: Cross multiply
    2,114.71x = 3,174.80 × 1,454.36
  4. Step 4: Simplify right side
    2,114.71x = 4,617,278.98
  5. Step 5: Solve for x
    x = 4,617,278.98/2,114.71
  6. Step 6: Final answer
    x = 2,183.41

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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.