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Finding the Fourth Proportional to 2,389, 3,295.98 and 1,504.48

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Solution

The fourth proportional to 2,389, 3,295.98 and 1,504.48 is: 2,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389 : 3,295.98 = 1,504.48 : x
  2. Step 2: Convert to fraction form
    2,389/3,295.98 = 1,504.48/x
  3. Step 3: Cross multiply
    2,389x = 3,295.98 × 1,504.48
  4. Step 4: Simplify right side
    2,389x = 4,958,735.99
  5. Step 5: Solve for x
    x = 4,958,735.99/2,389
  6. Step 6: Final answer
    x = 2,075.65

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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.