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Finding the Fourth Proportional to 2,152.94, 3,227.31 and 1,114.12

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Solution

The fourth proportional to 2,152.94, 3,227.31 and 1,114.12 is: 1,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.94 : 3,227.31 = 1,114.12 : x
  2. Step 2: Convert to fraction form
    2,152.94/3,227.31 = 1,114.12/x
  3. Step 3: Cross multiply
    2,152.94x = 3,227.31 × 1,114.12
  4. Step 4: Simplify right side
    2,152.94x = 3,595,602.55
  5. Step 5: Solve for x
    x = 3,595,602.55/2,152.94
  6. Step 6: Final answer
    x = 1,670.09

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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.