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Finding the Fourth Proportional to 2,503.86, 3,755.78 and 860.53

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Solution

The fourth proportional to 2,503.86, 3,755.78 and 860.53 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.86 : 3,755.78 = 860.53 : x
  2. Step 2: Convert to fraction form
    2,503.86/3,755.78 = 860.53/x
  3. Step 3: Cross multiply
    2,503.86x = 3,755.78 × 860.53
  4. Step 4: Simplify right side
    2,503.86x = 3,231,938.28
  5. Step 5: Solve for x
    x = 3,231,938.28/2,503.86
  6. Step 6: Final answer
    x = 1,290.78

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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.