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Finding the Fourth Proportional to 1,711.55, 2,567.41 and 671.46

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Solution

The fourth proportional to 1,711.55, 2,567.41 and 671.46 is: 1,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.55 : 2,567.41 = 671.46 : x
  2. Step 2: Convert to fraction form
    1,711.55/2,567.41 = 671.46/x
  3. Step 3: Cross multiply
    1,711.55x = 2,567.41 × 671.46
  4. Step 4: Simplify right side
    1,711.55x = 1,723,913.12
  5. Step 5: Solve for x
    x = 1,723,913.12/1,711.55
  6. Step 6: Final answer
    x = 1,007.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.