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Finding the Fourth Proportional to 3,123.92, 4,682.62 and 1,478.51

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Solution

The fourth proportional to 3,123.92, 4,682.62 and 1,478.51 is: 2,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.92 : 4,682.62 = 1,478.51 : x
  2. Step 2: Convert to fraction form
    3,123.92/4,682.62 = 1,478.51/x
  3. Step 3: Cross multiply
    3,123.92x = 4,682.62 × 1,478.51
  4. Step 4: Simplify right side
    3,123.92x = 6,923,308.51
  5. Step 5: Solve for x
    x = 6,923,308.51/3,123.92
  6. Step 6: Final answer
    x = 2,216.22

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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.