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Finding the Fourth Proportional to 2,709.48, 3,735.72 and 2,288.28

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Solution

The fourth proportional to 2,709.48, 3,735.72 and 2,288.28 is: 3,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.48 : 3,735.72 = 2,288.28 : x
  2. Step 2: Convert to fraction form
    2,709.48/3,735.72 = 2,288.28/x
  3. Step 3: Cross multiply
    2,709.48x = 3,735.72 × 2,288.28
  4. Step 4: Simplify right side
    2,709.48x = 8,548,373.36
  5. Step 5: Solve for x
    x = 8,548,373.36/2,709.48
  6. Step 6: Final answer
    x = 3,154.99

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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.