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Finding the Fourth Proportional to 1,816.11, 2,723.63 and 645.91

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Solution

The fourth proportional to 1,816.11, 2,723.63 and 645.91 is: 968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.11 : 2,723.63 = 645.91 : x
  2. Step 2: Convert to fraction form
    1,816.11/2,723.63 = 645.91/x
  3. Step 3: Cross multiply
    1,816.11x = 2,723.63 × 645.91
  4. Step 4: Simplify right side
    1,816.11x = 1,759,209.81
  5. Step 5: Solve for x
    x = 1,759,209.81/1,816.11
  6. Step 6: Final answer
    x = 968.67

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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.