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Finding the Fourth Proportional to 2,185.69, 3,278.05 and 625.69

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Solution

The fourth proportional to 2,185.69, 3,278.05 and 625.69 is: 938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.69 : 3,278.05 = 625.69 : x
  2. Step 2: Convert to fraction form
    2,185.69/3,278.05 = 625.69/x
  3. Step 3: Cross multiply
    2,185.69x = 3,278.05 × 625.69
  4. Step 4: Simplify right side
    2,185.69x = 2,051,034.01
  5. Step 5: Solve for x
    x = 2,051,034.01/2,185.69
  6. Step 6: Final answer
    x = 938.39

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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.