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Finding the Fourth Proportional to 2,619.62, 3,925.38 and 1,524.50

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Solution

The fourth proportional to 2,619.62, 3,925.38 and 1,524.50 is: 2,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.62 : 3,925.38 = 1,524.50 : x
  2. Step 2: Convert to fraction form
    2,619.62/3,925.38 = 1,524.50/x
  3. Step 3: Cross multiply
    2,619.62x = 3,925.38 × 1,524.50
  4. Step 4: Simplify right side
    2,619.62x = 5,984,241.81
  5. Step 5: Solve for x
    x = 5,984,241.81/2,619.62
  6. Step 6: Final answer
    x = 2,284.39

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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.