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Finding the Fourth Proportional to 2,684.68, 4,026.21 and 1,588.75

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Solution

The fourth proportional to 2,684.68, 4,026.21 and 1,588.75 is: 2,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.68 : 4,026.21 = 1,588.75 : x
  2. Step 2: Convert to fraction form
    2,684.68/4,026.21 = 1,588.75/x
  3. Step 3: Cross multiply
    2,684.68x = 4,026.21 × 1,588.75
  4. Step 4: Simplify right side
    2,684.68x = 6,396,641.14
  5. Step 5: Solve for x
    x = 6,396,641.14/2,684.68
  6. Step 6: Final answer
    x = 2,382.65

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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.