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Finding the Fourth Proportional to 2,673.70, 4,010.55 and 2,564.35

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Solution

The fourth proportional to 2,673.70, 4,010.55 and 2,564.35 is: 3,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.70 : 4,010.55 = 2,564.35 : x
  2. Step 2: Convert to fraction form
    2,673.70/4,010.55 = 2,564.35/x
  3. Step 3: Cross multiply
    2,673.70x = 4,010.55 × 2,564.35
  4. Step 4: Simplify right side
    2,673.70x = 10,284,453.89
  5. Step 5: Solve for x
    x = 10,284,453.89/2,673.70
  6. Step 6: Final answer
    x = 3,846.53

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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.