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Finding the Fourth Proportional to 2,645.86, 3,967.71 and 1,185.70

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Solution

The fourth proportional to 2,645.86, 3,967.71 and 1,185.70 is: 1,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.86 : 3,967.71 = 1,185.70 : x
  2. Step 2: Convert to fraction form
    2,645.86/3,967.71 = 1,185.70/x
  3. Step 3: Cross multiply
    2,645.86x = 3,967.71 × 1,185.70
  4. Step 4: Simplify right side
    2,645.86x = 4,704,513.75
  5. Step 5: Solve for x
    x = 4,704,513.75/2,645.86
  6. Step 6: Final answer
    x = 1,778.07

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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.