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Finding the Fourth Proportional to 1,384.56, 1,896.14 and 1,366.34

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Solution

The fourth proportional to 1,384.56, 1,896.14 and 1,366.34 is: 1,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.56 : 1,896.14 = 1,366.34 : x
  2. Step 2: Convert to fraction form
    1,384.56/1,896.14 = 1,366.34/x
  3. Step 3: Cross multiply
    1,384.56x = 1,896.14 × 1,366.34
  4. Step 4: Simplify right side
    1,384.56x = 2,590,765.86
  5. Step 5: Solve for x
    x = 2,590,765.86/1,384.56
  6. Step 6: Final answer
    x = 1,871.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.