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Finding the Fourth Proportional to 2,713.82, 4,069.49 and 1,070.07

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Solution

The fourth proportional to 2,713.82, 4,069.49 and 1,070.07 is: 1,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.82 : 4,069.49 = 1,070.07 : x
  2. Step 2: Convert to fraction form
    2,713.82/4,069.49 = 1,070.07/x
  3. Step 3: Cross multiply
    2,713.82x = 4,069.49 × 1,070.07
  4. Step 4: Simplify right side
    2,713.82x = 4,354,633.81
  5. Step 5: Solve for x
    x = 4,354,633.81/2,713.82
  6. Step 6: Final answer
    x = 1,604.62

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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.