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Finding the Fourth Proportional to 2,684.58, 3,704.31 and 1,505.40

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Solution

The fourth proportional to 2,684.58, 3,704.31 and 1,505.40 is: 2,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.58 : 3,704.31 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    2,684.58/3,704.31 = 1,505.40/x
  3. Step 3: Cross multiply
    2,684.58x = 3,704.31 × 1,505.40
  4. Step 4: Simplify right side
    2,684.58x = 5,576,468.27
  5. Step 5: Solve for x
    x = 5,576,468.27/2,684.58
  6. Step 6: Final answer
    x = 2,077.22

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Why These Related Problems?

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