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Finding the Fourth Proportional to 2,684.47, 3,704.56 and 1,505.65

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Solution

The fourth proportional to 2,684.47, 3,704.56 and 1,505.65 is: 2,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.47 : 3,704.56 = 1,505.65 : x
  2. Step 2: Convert to fraction form
    2,684.47/3,704.56 = 1,505.65/x
  3. Step 3: Cross multiply
    2,684.47x = 3,704.56 × 1,505.65
  4. Step 4: Simplify right side
    2,684.47x = 5,577,770.76
  5. Step 5: Solve for x
    x = 5,577,770.76/2,684.47
  6. Step 6: Final answer
    x = 2,077.79

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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.