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Finding the Fourth Proportional to 2,389.61, 3,299.19 and 1,643.33

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Solution

The fourth proportional to 2,389.61, 3,299.19 and 1,643.33 is: 2,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.61 : 3,299.19 = 1,643.33 : x
  2. Step 2: Convert to fraction form
    2,389.61/3,299.19 = 1,643.33/x
  3. Step 3: Cross multiply
    2,389.61x = 3,299.19 × 1,643.33
  4. Step 4: Simplify right side
    2,389.61x = 5,421,657.90
  5. Step 5: Solve for x
    x = 5,421,657.90/2,389.61
  6. Step 6: Final answer
    x = 2,268.85

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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.