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Finding the Fourth Proportional to 2,709.18, 3,734.95 and 1,713.96

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Solution

The fourth proportional to 2,709.18, 3,734.95 and 1,713.96 is: 2,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.18 : 3,734.95 = 1,713.96 : x
  2. Step 2: Convert to fraction form
    2,709.18/3,734.95 = 1,713.96/x
  3. Step 3: Cross multiply
    2,709.18x = 3,734.95 × 1,713.96
  4. Step 4: Simplify right side
    2,709.18x = 6,401,554.90
  5. Step 5: Solve for x
    x = 6,401,554.90/2,709.18
  6. Step 6: Final answer
    x = 2,362.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.