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Finding the Fourth Proportional to 2,592.75, 3,578.00 and 1,546.23

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Solution

The fourth proportional to 2,592.75, 3,578.00 and 1,546.23 is: 2,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.75 : 3,578.00 = 1,546.23 : x
  2. Step 2: Convert to fraction form
    2,592.75/3,578.00 = 1,546.23/x
  3. Step 3: Cross multiply
    2,592.75x = 3,578.00 × 1,546.23
  4. Step 4: Simplify right side
    2,592.75x = 5,532,403.21
  5. Step 5: Solve for x
    x = 5,532,403.21/2,592.75
  6. Step 6: Final answer
    x = 2,133.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.