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Finding the Fourth Proportional to 2,383.55, 3,289.40 and 1,388.66

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Solution

The fourth proportional to 2,383.55, 3,289.40 and 1,388.66 is: 1,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.55 : 3,289.40 = 1,388.66 : x
  2. Step 2: Convert to fraction form
    2,383.55/3,289.40 = 1,388.66/x
  3. Step 3: Cross multiply
    2,383.55x = 3,289.40 × 1,388.66
  4. Step 4: Simplify right side
    2,383.55x = 4,567,869.90
  5. Step 5: Solve for x
    x = 4,567,869.90/2,383.55
  6. Step 6: Final answer
    x = 1,916.42

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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.