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Finding the Fourth Proportional to 3,003.85, 4,503.65 and 1,153.40

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Solution

The fourth proportional to 3,003.85, 4,503.65 and 1,153.40 is: 1,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.85 : 4,503.65 = 1,153.40 : x
  2. Step 2: Convert to fraction form
    3,003.85/4,503.65 = 1,153.40/x
  3. Step 3: Cross multiply
    3,003.85x = 4,503.65 × 1,153.40
  4. Step 4: Simplify right side
    3,003.85x = 5,194,504.14
  5. Step 5: Solve for x
    x = 5,194,504.14/3,003.85
  6. Step 6: Final answer
    x = 1,729.29

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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.