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Finding the Fourth Proportional to 1,383.98, 1,909.47 and 969.26

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Solution

The fourth proportional to 1,383.98, 1,909.47 and 969.26 is: 1,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.98 : 1,909.47 = 969.26 : x
  2. Step 2: Convert to fraction form
    1,383.98/1,909.47 = 969.26/x
  3. Step 3: Cross multiply
    1,383.98x = 1,909.47 × 969.26
  4. Step 4: Simplify right side
    1,383.98x = 1,850,772.89
  5. Step 5: Solve for x
    x = 1,850,772.89/1,383.98
  6. Step 6: Final answer
    x = 1,337.28

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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.