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Finding the Fourth Proportional to 2,688.66, 3,709.58 and 1,744.47

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Solution

The fourth proportional to 2,688.66, 3,709.58 and 1,744.47 is: 2,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.66 : 3,709.58 = 1,744.47 : x
  2. Step 2: Convert to fraction form
    2,688.66/3,709.58 = 1,744.47/x
  3. Step 3: Cross multiply
    2,688.66x = 3,709.58 × 1,744.47
  4. Step 4: Simplify right side
    2,688.66x = 6,471,242.30
  5. Step 5: Solve for x
    x = 6,471,242.30/2,688.66
  6. Step 6: Final answer
    x = 2,406.87

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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.