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Finding the Fourth Proportional to 2,218.04, 3,325.94 and 756.68

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Solution

The fourth proportional to 2,218.04, 3,325.94 and 756.68 is: 1,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.04 : 3,325.94 = 756.68 : x
  2. Step 2: Convert to fraction form
    2,218.04/3,325.94 = 756.68/x
  3. Step 3: Cross multiply
    2,218.04x = 3,325.94 × 756.68
  4. Step 4: Simplify right side
    2,218.04x = 2,516,672.28
  5. Step 5: Solve for x
    x = 2,516,672.28/2,218.04
  6. Step 6: Final answer
    x = 1,134.64

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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.