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Finding the Fourth Proportional to 2,477.70, 3,711.15 and 2,204.10

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Solution

The fourth proportional to 2,477.70, 3,711.15 and 2,204.10 is: 3,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.70 : 3,711.15 = 2,204.10 : x
  2. Step 2: Convert to fraction form
    2,477.70/3,711.15 = 2,204.10/x
  3. Step 3: Cross multiply
    2,477.70x = 3,711.15 × 2,204.10
  4. Step 4: Simplify right side
    2,477.70x = 8,179,745.72
  5. Step 5: Solve for x
    x = 8,179,745.72/2,477.70
  6. Step 6: Final answer
    x = 3,301.35

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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.