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Finding the Fourth Proportional to 2,817.60, 4,226.40 and 968.79

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Solution

The fourth proportional to 2,817.60, 4,226.40 and 968.79 is: 1,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.60 : 4,226.40 = 968.79 : x
  2. Step 2: Convert to fraction form
    2,817.60/4,226.40 = 968.79/x
  3. Step 3: Cross multiply
    2,817.60x = 4,226.40 × 968.79
  4. Step 4: Simplify right side
    2,817.60x = 4,094,494.06
  5. Step 5: Solve for x
    x = 4,094,494.06/2,817.60
  6. Step 6: Final answer
    x = 1,453.19

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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.