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Finding the Fourth Proportional to 1,711.14, 2,582.04 and 1,650.12

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Solution

The fourth proportional to 1,711.14, 2,582.04 and 1,650.12 is: 2,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.14 : 2,582.04 = 1,650.12 : x
  2. Step 2: Convert to fraction form
    1,711.14/2,582.04 = 1,650.12/x
  3. Step 3: Cross multiply
    1,711.14x = 2,582.04 × 1,650.12
  4. Step 4: Simplify right side
    1,711.14x = 4,260,675.84
  5. Step 5: Solve for x
    x = 4,260,675.84/1,711.14
  6. Step 6: Final answer
    x = 2,489.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.