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Finding the Fourth Proportional to 2,051.94, 3,078.42 and 591.21

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Solution

The fourth proportional to 2,051.94, 3,078.42 and 591.21 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.94 : 3,078.42 = 591.21 : x
  2. Step 2: Convert to fraction form
    2,051.94/3,078.42 = 591.21/x
  3. Step 3: Cross multiply
    2,051.94x = 3,078.42 × 591.21
  4. Step 4: Simplify right side
    2,051.94x = 1,819,992.69
  5. Step 5: Solve for x
    x = 1,819,992.69/2,051.94
  6. Step 6: Final answer
    x = 886.96

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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.