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Finding the Fourth Proportional to 2,389, 3,289.98 and 2,338.12

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Solution

The fourth proportional to 2,389, 3,289.98 and 2,338.12 is: 3,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389 : 3,289.98 = 2,338.12 : x
  2. Step 2: Convert to fraction form
    2,389/3,289.98 = 2,338.12/x
  3. Step 3: Cross multiply
    2,389x = 3,289.98 × 2,338.12
  4. Step 4: Simplify right side
    2,389x = 7,692,368.04
  5. Step 5: Solve for x
    x = 7,692,368.04/2,389
  6. Step 6: Final answer
    x = 3,219.91

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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.