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Finding the Fourth Proportional to 2,483.89, 3,725.64 and 1,097.26

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Solution

The fourth proportional to 2,483.89, 3,725.64 and 1,097.26 is: 1,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.89 : 3,725.64 = 1,097.26 : x
  2. Step 2: Convert to fraction form
    2,483.89/3,725.64 = 1,097.26/x
  3. Step 3: Cross multiply
    2,483.89x = 3,725.64 × 1,097.26
  4. Step 4: Simplify right side
    2,483.89x = 4,087,995.75
  5. Step 5: Solve for x
    x = 4,087,995.75/2,483.89
  6. Step 6: Final answer
    x = 1,645.80

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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.