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Finding the Fourth Proportional to 2,385.20, 3,574.56 and 996.86

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Solution

The fourth proportional to 2,385.20, 3,574.56 and 996.86 is: 1,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.20 : 3,574.56 = 996.86 : x
  2. Step 2: Convert to fraction form
    2,385.20/3,574.56 = 996.86/x
  3. Step 3: Cross multiply
    2,385.20x = 3,574.56 × 996.86
  4. Step 4: Simplify right side
    2,385.20x = 3,563,335.88
  5. Step 5: Solve for x
    x = 3,563,335.88/2,385.20
  6. Step 6: Final answer
    x = 1,493.94

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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.