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Finding the Fourth Proportional to 2,318.69, 3,475.00 and 2,009.27

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Solution

The fourth proportional to 2,318.69, 3,475.00 and 2,009.27 is: 3,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.69 : 3,475.00 = 2,009.27 : x
  2. Step 2: Convert to fraction form
    2,318.69/3,475.00 = 2,009.27/x
  3. Step 3: Cross multiply
    2,318.69x = 3,475.00 × 2,009.27
  4. Step 4: Simplify right side
    2,318.69x = 6,982,224.45
  5. Step 5: Solve for x
    x = 6,982,224.45/2,318.69
  6. Step 6: Final answer
    x = 3,011.28

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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.