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Finding the Fourth Proportional to 2,419.72, 3,628.23 and 1,184.47

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Solution

The fourth proportional to 2,419.72, 3,628.23 and 1,184.47 is: 1,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.72 : 3,628.23 = 1,184.47 : x
  2. Step 2: Convert to fraction form
    2,419.72/3,628.23 = 1,184.47/x
  3. Step 3: Cross multiply
    2,419.72x = 3,628.23 × 1,184.47
  4. Step 4: Simplify right side
    2,419.72x = 4,297,529.59
  5. Step 5: Solve for x
    x = 4,297,529.59/2,419.72
  6. Step 6: Final answer
    x = 1,776.04

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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.