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Finding the Fourth Proportional to 3,051.69, 4,574.39 and 1,202.05

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Solution

The fourth proportional to 3,051.69, 4,574.39 and 1,202.05 is: 1,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.69 : 4,574.39 = 1,202.05 : x
  2. Step 2: Convert to fraction form
    3,051.69/4,574.39 = 1,202.05/x
  3. Step 3: Cross multiply
    3,051.69x = 4,574.39 × 1,202.05
  4. Step 4: Simplify right side
    3,051.69x = 5,498,639.49
  5. Step 5: Solve for x
    x = 5,498,639.49/3,051.69
  6. Step 6: Final answer
    x = 1,801.84

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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.