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Finding the Fourth Proportional to 3,002.50, 4,143.94 and 2,175.94

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Solution

The fourth proportional to 3,002.50, 4,143.94 and 2,175.94 is: 3,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.50 : 4,143.94 = 2,175.94 : x
  2. Step 2: Convert to fraction form
    3,002.50/4,143.94 = 2,175.94/x
  3. Step 3: Cross multiply
    3,002.50x = 4,143.94 × 2,175.94
  4. Step 4: Simplify right side
    3,002.50x = 9,016,964.80
  5. Step 5: Solve for x
    x = 9,016,964.80/3,002.50
  6. Step 6: Final answer
    x = 3,003.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.