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Finding the Fourth Proportional to 1,352.96, 1,865.27 and 1,214.56

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Solution

The fourth proportional to 1,352.96, 1,865.27 and 1,214.56 is: 1,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.96 : 1,865.27 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    1,352.96/1,865.27 = 1,214.56/x
  3. Step 3: Cross multiply
    1,352.96x = 1,865.27 × 1,214.56
  4. Step 4: Simplify right side
    1,352.96x = 2,265,490.78
  5. Step 5: Solve for x
    x = 2,265,490.78/1,352.96
  6. Step 6: Final answer
    x = 1,674.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.