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Finding the Fourth Proportional to 1,824.32, 2,516.22 and 1,193.84

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Solution

The fourth proportional to 1,824.32, 2,516.22 and 1,193.84 is: 1,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.32 : 2,516.22 = 1,193.84 : x
  2. Step 2: Convert to fraction form
    1,824.32/2,516.22 = 1,193.84/x
  3. Step 3: Cross multiply
    1,824.32x = 2,516.22 × 1,193.84
  4. Step 4: Simplify right side
    1,824.32x = 3,003,951.50
  5. Step 5: Solve for x
    x = 3,003,951.50/1,824.32
  6. Step 6: Final answer
    x = 1,646.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.