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Finding the Fourth Proportional to 1,672.85, 2,509.32 and 794.90

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Solution

The fourth proportional to 1,672.85, 2,509.32 and 794.90 is: 1,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.85 : 2,509.32 = 794.90 : x
  2. Step 2: Convert to fraction form
    1,672.85/2,509.32 = 794.90/x
  3. Step 3: Cross multiply
    1,672.85x = 2,509.32 × 794.90
  4. Step 4: Simplify right side
    1,672.85x = 1,994,645.92
  5. Step 5: Solve for x
    x = 1,994,645.92/1,672.85
  6. Step 6: Final answer
    x = 1,192.37

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