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Finding the Fourth Proportional to 1,674.83, 2,512.49 and 578.90

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Solution

The fourth proportional to 1,674.83, 2,512.49 and 578.90 is: 868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.83 : 2,512.49 = 578.90 : x
  2. Step 2: Convert to fraction form
    1,674.83/2,512.49 = 578.90/x
  3. Step 3: Cross multiply
    1,674.83x = 2,512.49 × 578.90
  4. Step 4: Simplify right side
    1,674.83x = 1,454,480.46
  5. Step 5: Solve for x
    x = 1,454,480.46/1,674.83
  6. Step 6: Final answer
    x = 868.43

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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.