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Finding the Fourth Proportional to 2,731.45, 4,087.05 and 2,002.45

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Solution

The fourth proportional to 2,731.45, 4,087.05 and 2,002.45 is: 2,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.45 : 4,087.05 = 2,002.45 : x
  2. Step 2: Convert to fraction form
    2,731.45/4,087.05 = 2,002.45/x
  3. Step 3: Cross multiply
    2,731.45x = 4,087.05 × 2,002.45
  4. Step 4: Simplify right side
    2,731.45x = 8,184,113.27
  5. Step 5: Solve for x
    x = 8,184,113.27/2,731.45
  6. Step 6: Final answer
    x = 2,996.25

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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.