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Finding the Fourth Proportional to 2,486.28, 3,725.22 and 1,184.88

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Solution

The fourth proportional to 2,486.28, 3,725.22 and 1,184.88 is: 1,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.28 : 3,725.22 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    2,486.28/3,725.22 = 1,184.88/x
  3. Step 3: Cross multiply
    2,486.28x = 3,725.22 × 1,184.88
  4. Step 4: Simplify right side
    2,486.28x = 4,413,938.67
  5. Step 5: Solve for x
    x = 4,413,938.67/2,486.28
  6. Step 6: Final answer
    x = 1,775.32

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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.