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Finding the Fourth Proportional to 1,383.21, 1,910.93 and 1,069.74

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Solution

The fourth proportional to 1,383.21, 1,910.93 and 1,069.74 is: 1,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.21 : 1,910.93 = 1,069.74 : x
  2. Step 2: Convert to fraction form
    1,383.21/1,910.93 = 1,069.74/x
  3. Step 3: Cross multiply
    1,383.21x = 1,910.93 × 1,069.74
  4. Step 4: Simplify right side
    1,383.21x = 2,044,192.91
  5. Step 5: Solve for x
    x = 2,044,192.91/1,383.21
  6. Step 6: Final answer
    x = 1,477.86

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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.