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Finding the Fourth Proportional to 2,385.96, 3,578.80 and 998.57

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Solution

The fourth proportional to 2,385.96, 3,578.80 and 998.57 is: 1,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.96 : 3,578.80 = 998.57 : x
  2. Step 2: Convert to fraction form
    2,385.96/3,578.80 = 998.57/x
  3. Step 3: Cross multiply
    2,385.96x = 3,578.80 × 998.57
  4. Step 4: Simplify right side
    2,385.96x = 3,573,659.43
  5. Step 5: Solve for x
    x = 3,573,659.43/2,385.96
  6. Step 6: Final answer
    x = 1,497.79

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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.