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Finding the Fourth Proportional to 2,382.63, 3,569.99 and 1,685.84

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Solution

The fourth proportional to 2,382.63, 3,569.99 and 1,685.84 is: 2,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.63 : 3,569.99 = 1,685.84 : x
  2. Step 2: Convert to fraction form
    2,382.63/3,569.99 = 1,685.84/x
  3. Step 3: Cross multiply
    2,382.63x = 3,569.99 × 1,685.84
  4. Step 4: Simplify right side
    2,382.63x = 6,018,431.94
  5. Step 5: Solve for x
    x = 6,018,431.94/2,382.63
  6. Step 6: Final answer
    x = 2,525.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.