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Finding the Fourth Proportional to 2,503.35, 3,755.25 and 654.44

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Solution

The fourth proportional to 2,503.35, 3,755.25 and 654.44 is: 981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.35 : 3,755.25 = 654.44 : x
  2. Step 2: Convert to fraction form
    2,503.35/3,755.25 = 654.44/x
  3. Step 3: Cross multiply
    2,503.35x = 3,755.25 × 654.44
  4. Step 4: Simplify right side
    2,503.35x = 2,457,567.03
  5. Step 5: Solve for x
    x = 2,457,567.03/2,503.35
  6. Step 6: Final answer
    x = 981.71

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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.