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Finding the Fourth Proportional to 2,038.62, 3,051.21 and 1,548.96

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Solution

The fourth proportional to 2,038.62, 3,051.21 and 1,548.96 is: 2,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.62 : 3,051.21 = 1,548.96 : x
  2. Step 2: Convert to fraction form
    2,038.62/3,051.21 = 1,548.96/x
  3. Step 3: Cross multiply
    2,038.62x = 3,051.21 × 1,548.96
  4. Step 4: Simplify right side
    2,038.62x = 4,726,202.24
  5. Step 5: Solve for x
    x = 4,726,202.24/2,038.62
  6. Step 6: Final answer
    x = 2,318.33

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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.