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Finding the Fourth Proportional to 2,059.96, 3,089.94 and 521.08

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Solution

The fourth proportional to 2,059.96, 3,089.94 and 521.08 is: 781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.96 : 3,089.94 = 521.08 : x
  2. Step 2: Convert to fraction form
    2,059.96/3,089.94 = 521.08/x
  3. Step 3: Cross multiply
    2,059.96x = 3,089.94 × 521.08
  4. Step 4: Simplify right side
    2,059.96x = 1,610,105.94
  5. Step 5: Solve for x
    x = 1,610,105.94/2,059.96
  6. Step 6: Final answer
    x = 781.62

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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.