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Finding the Fourth Proportional to 2,138.84, 3,208.48 and 578.88

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Solution

The fourth proportional to 2,138.84, 3,208.48 and 578.88 is: 868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.84 : 3,208.48 = 578.88 : x
  2. Step 2: Convert to fraction form
    2,138.84/3,208.48 = 578.88/x
  3. Step 3: Cross multiply
    2,138.84x = 3,208.48 × 578.88
  4. Step 4: Simplify right side
    2,138.84x = 1,857,324.90
  5. Step 5: Solve for x
    x = 1,857,324.90/2,138.84
  6. Step 6: Final answer
    x = 868.38

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1.5x scale

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.