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Finding the Fourth Proportional to 1,384.90, 2,076.31 and 836.97

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Solution

The fourth proportional to 1,384.90, 2,076.31 and 836.97 is: 1,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.90 : 2,076.31 = 836.97 : x
  2. Step 2: Convert to fraction form
    1,384.90/2,076.31 = 836.97/x
  3. Step 3: Cross multiply
    1,384.90x = 2,076.31 × 836.97
  4. Step 4: Simplify right side
    1,384.90x = 1,737,809.18
  5. Step 5: Solve for x
    x = 1,737,809.18/1,384.90
  6. Step 6: Final answer
    x = 1,254.83

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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.