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Finding the Fourth Proportional to 3,451.50, 4,760.94 and 2,106.51

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Solution

The fourth proportional to 3,451.50, 4,760.94 and 2,106.51 is: 2,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.50 : 4,760.94 = 2,106.51 : x
  2. Step 2: Convert to fraction form
    3,451.50/4,760.94 = 2,106.51/x
  3. Step 3: Cross multiply
    3,451.50x = 4,760.94 × 2,106.51
  4. Step 4: Simplify right side
    3,451.50x = 10,028,967.72
  5. Step 5: Solve for x
    x = 10,028,967.72/3,451.50
  6. Step 6: Final answer
    x = 2,905.68

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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.