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Finding the Fourth Proportional to 2,300.16, 3,449.76 and 656.27

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Solution

The fourth proportional to 2,300.16, 3,449.76 and 656.27 is: 984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.16 : 3,449.76 = 656.27 : x
  2. Step 2: Convert to fraction form
    2,300.16/3,449.76 = 656.27/x
  3. Step 3: Cross multiply
    2,300.16x = 3,449.76 × 656.27
  4. Step 4: Simplify right side
    2,300.16x = 2,263,956.75
  5. Step 5: Solve for x
    x = 2,263,956.75/2,300.16
  6. Step 6: Final answer
    x = 984.26

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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.