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Finding the Fourth Proportional to 1,674.74, 2,512.29 and 578.97

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Solution

The fourth proportional to 1,674.74, 2,512.29 and 578.97 is: 868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.74 : 2,512.29 = 578.97 : x
  2. Step 2: Convert to fraction form
    1,674.74/2,512.29 = 578.97/x
  3. Step 3: Cross multiply
    1,674.74x = 2,512.29 × 578.97
  4. Step 4: Simplify right side
    1,674.74x = 1,454,525.09
  5. Step 5: Solve for x
    x = 1,454,525.09/1,674.74
  6. Step 6: Final answer
    x = 868.51

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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.