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Finding the Fourth Proportional to 1,384.14, 2,077.20 and 864.90

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Solution

The fourth proportional to 1,384.14, 2,077.20 and 864.90 is: 1,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,077.20 = 864.90 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,077.20 = 864.90/x
  3. Step 3: Cross multiply
    1,384.14x = 2,077.20 × 864.90
  4. Step 4: Simplify right side
    1,384.14x = 1,796,570.28
  5. Step 5: Solve for x
    x = 1,796,570.28/1,384.14
  6. Step 6: Final answer
    x = 1,297.97

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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.