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Finding the Fourth Proportional to 1,635.50, 2,453.56 and 540.62

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Solution

The fourth proportional to 1,635.50, 2,453.56 and 540.62 is: 811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.50 : 2,453.56 = 540.62 : x
  2. Step 2: Convert to fraction form
    1,635.50/2,453.56 = 540.62/x
  3. Step 3: Cross multiply
    1,635.50x = 2,453.56 × 540.62
  4. Step 4: Simplify right side
    1,635.50x = 1,326,443.61
  5. Step 5: Solve for x
    x = 1,326,443.61/1,635.50
  6. Step 6: Final answer
    x = 811.03

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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.