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Finding the Fourth Proportional to 2,322.27, 3,483.69 and 861.43

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Solution

The fourth proportional to 2,322.27, 3,483.69 and 861.43 is: 1,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.27 : 3,483.69 = 861.43 : x
  2. Step 2: Convert to fraction form
    2,322.27/3,483.69 = 861.43/x
  3. Step 3: Cross multiply
    2,322.27x = 3,483.69 × 861.43
  4. Step 4: Simplify right side
    2,322.27x = 3,000,955.08
  5. Step 5: Solve for x
    x = 3,000,955.08/2,322.27
  6. Step 6: Final answer
    x = 1,292.25

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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.