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Finding the Fourth Proportional to 2,684.41, 3,704.47 and 1,505.50

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Solution

The fourth proportional to 2,684.41, 3,704.47 and 1,505.50 is: 2,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.41 : 3,704.47 = 1,505.50 : x
  2. Step 2: Convert to fraction form
    2,684.41/3,704.47 = 1,505.50/x
  3. Step 3: Cross multiply
    2,684.41x = 3,704.47 × 1,505.50
  4. Step 4: Simplify right side
    2,684.41x = 5,577,066.56
  5. Step 5: Solve for x
    x = 5,577,066.56/2,684.41
  6. Step 6: Final answer
    x = 2,077.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.