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Finding the Fourth Proportional to 2,061, 3,091.68 and 522

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Solution

The fourth proportional to 2,061, 3,091.68 and 522 is: 783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061 : 3,091.68 = 522 : x
  2. Step 2: Convert to fraction form
    2,061/3,091.68 = 522/x
  3. Step 3: Cross multiply
    2,061x = 3,091.68 × 522
  4. Step 4: Simplify right side
    2,061x = 1,613,856.96
  5. Step 5: Solve for x
    x = 1,613,856.96/2,061
  6. Step 6: Final answer
    x = 783.05

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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.