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Finding the Fourth Proportional to 3,120.87, 4,682.12 and 1,477.38

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Solution

The fourth proportional to 3,120.87, 4,682.12 and 1,477.38 is: 2,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.87 : 4,682.12 = 1,477.38 : x
  2. Step 2: Convert to fraction form
    3,120.87/4,682.12 = 1,477.38/x
  3. Step 3: Cross multiply
    3,120.87x = 4,682.12 × 1,477.38
  4. Step 4: Simplify right side
    3,120.87x = 6,917,270.45
  5. Step 5: Solve for x
    x = 6,917,270.45/3,120.87
  6. Step 6: Final answer
    x = 2,216.46

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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.