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Finding the Fourth Proportional to 1,674.24, 2,511.96 and 578.71

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Solution

The fourth proportional to 1,674.24, 2,511.96 and 578.71 is: 868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.24 : 2,511.96 = 578.71 : x
  2. Step 2: Convert to fraction form
    1,674.24/2,511.96 = 578.71/x
  3. Step 3: Cross multiply
    1,674.24x = 2,511.96 × 578.71
  4. Step 4: Simplify right side
    1,674.24x = 1,453,696.37
  5. Step 5: Solve for x
    x = 1,453,696.37/1,674.24
  6. Step 6: Final answer
    x = 868.27

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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.