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Finding the Fourth Proportional to 1,383.98, 1,909.06 and 886.43

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Solution

The fourth proportional to 1,383.98, 1,909.06 and 886.43 is: 1,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.98 : 1,909.06 = 886.43 : x
  2. Step 2: Convert to fraction form
    1,383.98/1,909.06 = 886.43/x
  3. Step 3: Cross multiply
    1,383.98x = 1,909.06 × 886.43
  4. Step 4: Simplify right side
    1,383.98x = 1,692,250.61
  5. Step 5: Solve for x
    x = 1,692,250.61/1,383.98
  6. Step 6: Final answer
    x = 1,222.75

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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.