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Finding the Fourth Proportional to 1,674.20, 2,511.45 and 578.85

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Solution

The fourth proportional to 1,674.20, 2,511.45 and 578.85 is: 868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.20 : 2,511.45 = 578.85 : x
  2. Step 2: Convert to fraction form
    1,674.20/2,511.45 = 578.85/x
  3. Step 3: Cross multiply
    1,674.20x = 2,511.45 × 578.85
  4. Step 4: Simplify right side
    1,674.20x = 1,453,752.83
  5. Step 5: Solve for x
    x = 1,453,752.83/1,674.20
  6. Step 6: Final answer
    x = 868.33

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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.