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Finding the Fourth Proportional to 1,384.65, 1,906.41 and 1,174.35

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Solution

The fourth proportional to 1,384.65, 1,906.41 and 1,174.35 is: 1,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.65 : 1,906.41 = 1,174.35 : x
  2. Step 2: Convert to fraction form
    1,384.65/1,906.41 = 1,174.35/x
  3. Step 3: Cross multiply
    1,384.65x = 1,906.41 × 1,174.35
  4. Step 4: Simplify right side
    1,384.65x = 2,238,792.58
  5. Step 5: Solve for x
    x = 2,238,792.58/1,384.65
  6. Step 6: Final answer
    x = 1,616.87

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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.