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Finding the Fourth Proportional to 2,419, 3,622 and 1,536.74

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Solution

The fourth proportional to 2,419, 3,622 and 1,536.74 is: 2,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 3,622 = 1,536.74 : x
  2. Step 2: Convert to fraction form
    2,419/3,622 = 1,536.74/x
  3. Step 3: Cross multiply
    2,419x = 3,622 × 1,536.74
  4. Step 4: Simplify right side
    2,419x = 5,566,072.28
  5. Step 5: Solve for x
    x = 5,566,072.28/2,419
  6. Step 6: Final answer
    x = 2,300.98

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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.