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Finding the Fourth Proportional to 2,117.28, 3,175.92 and 578.28

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Solution

The fourth proportional to 2,117.28, 3,175.92 and 578.28 is: 867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.28 : 3,175.92 = 578.28 : x
  2. Step 2: Convert to fraction form
    2,117.28/3,175.92 = 578.28/x
  3. Step 3: Cross multiply
    2,117.28x = 3,175.92 × 578.28
  4. Step 4: Simplify right side
    2,117.28x = 1,836,571.02
  5. Step 5: Solve for x
    x = 1,836,571.02/2,117.28
  6. Step 6: Final answer
    x = 867.42

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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.