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Finding the Fourth Proportional to 2,103.86, 3,158.01 and 1,180.19

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Solution

The fourth proportional to 2,103.86, 3,158.01 and 1,180.19 is: 1,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.86 : 3,158.01 = 1,180.19 : x
  2. Step 2: Convert to fraction form
    2,103.86/3,158.01 = 1,180.19/x
  3. Step 3: Cross multiply
    2,103.86x = 3,158.01 × 1,180.19
  4. Step 4: Simplify right side
    2,103.86x = 3,727,051.82
  5. Step 5: Solve for x
    x = 3,727,051.82/2,103.86
  6. Step 6: Final answer
    x = 1,771.53

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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.