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Finding the Fourth Proportional to 2,567.42, 3,543.50 and 2,450.56

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Solution

The fourth proportional to 2,567.42, 3,543.50 and 2,450.56 is: 3,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.42 : 3,543.50 = 2,450.56 : x
  2. Step 2: Convert to fraction form
    2,567.42/3,543.50 = 2,450.56/x
  3. Step 3: Cross multiply
    2,567.42x = 3,543.50 × 2,450.56
  4. Step 4: Simplify right side
    2,567.42x = 8,683,559.36
  5. Step 5: Solve for x
    x = 8,683,559.36/2,567.42
  6. Step 6: Final answer
    x = 3,382.21

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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.