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Finding the Fourth Proportional to 2,673.72, 3,982.37 and 2,535

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Solution

The fourth proportional to 2,673.72, 3,982.37 and 2,535 is: 3,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.72 : 3,982.37 = 2,535 : x
  2. Step 2: Convert to fraction form
    2,673.72/3,982.37 = 2,535/x
  3. Step 3: Cross multiply
    2,673.72x = 3,982.37 × 2,535
  4. Step 4: Simplify right side
    2,673.72x = 10,095,307.95
  5. Step 5: Solve for x
    x = 10,095,307.95/2,673.72
  6. Step 6: Final answer
    x = 3,775.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.