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Finding the Fourth Proportional to 2,503.47, 3,755.25 and 654.48

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Solution

The fourth proportional to 2,503.47, 3,755.25 and 654.48 is: 981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.47 : 3,755.25 = 654.48 : x
  2. Step 2: Convert to fraction form
    2,503.47/3,755.25 = 654.48/x
  3. Step 3: Cross multiply
    2,503.47x = 3,755.25 × 654.48
  4. Step 4: Simplify right side
    2,503.47x = 2,457,736.02
  5. Step 5: Solve for x
    x = 2,457,736.02/2,503.47
  6. Step 6: Final answer
    x = 981.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.