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Finding the Fourth Proportional to 3,003.64, 4,503.06 and 1,442.84

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Solution

The fourth proportional to 3,003.64, 4,503.06 and 1,442.84 is: 2,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.64 : 4,503.06 = 1,442.84 : x
  2. Step 2: Convert to fraction form
    3,003.64/4,503.06 = 1,442.84/x
  3. Step 3: Cross multiply
    3,003.64x = 4,503.06 × 1,442.84
  4. Step 4: Simplify right side
    3,003.64x = 6,497,195.09
  5. Step 5: Solve for x
    x = 6,497,195.09/3,003.64
  6. Step 6: Final answer
    x = 2,163.11

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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.