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Finding the Fourth Proportional to 2,524.01, 3,482.49 and 1,580.26

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Solution

The fourth proportional to 2,524.01, 3,482.49 and 1,580.26 is: 2,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.01 : 3,482.49 = 1,580.26 : x
  2. Step 2: Convert to fraction form
    2,524.01/3,482.49 = 1,580.26/x
  3. Step 3: Cross multiply
    2,524.01x = 3,482.49 × 1,580.26
  4. Step 4: Simplify right side
    2,524.01x = 5,503,243.40
  5. Step 5: Solve for x
    x = 5,503,243.40/2,524.01
  6. Step 6: Final answer
    x = 2,180.36

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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.