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Finding the Fourth Proportional to 3,002.81, 4,504.82 and 1,055.57

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Solution

The fourth proportional to 3,002.81, 4,504.82 and 1,055.57 is: 1,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.81 : 4,504.82 = 1,055.57 : x
  2. Step 2: Convert to fraction form
    3,002.81/4,504.82 = 1,055.57/x
  3. Step 3: Cross multiply
    3,002.81x = 4,504.82 × 1,055.57
  4. Step 4: Simplify right side
    3,002.81x = 4,755,125.05
  5. Step 5: Solve for x
    x = 4,755,125.05/3,002.81
  6. Step 6: Final answer
    x = 1,583.56

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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.