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Finding the Fourth Proportional to 1,672.55, 2,509.02 and 806.25

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Solution

The fourth proportional to 1,672.55, 2,509.02 and 806.25 is: 1,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.55 : 2,509.02 = 806.25 : x
  2. Step 2: Convert to fraction form
    1,672.55/2,509.02 = 806.25/x
  3. Step 3: Cross multiply
    1,672.55x = 2,509.02 × 806.25
  4. Step 4: Simplify right side
    1,672.55x = 2,022,897.38
  5. Step 5: Solve for x
    x = 2,022,897.38/1,672.55
  6. Step 6: Final answer
    x = 1,209.47

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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.