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Finding the Fourth Proportional to 1,664.24, 2,493.20 and 995.76

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Solution

The fourth proportional to 1,664.24, 2,493.20 and 995.76 is: 1,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.24 : 2,493.20 = 995.76 : x
  2. Step 2: Convert to fraction form
    1,664.24/2,493.20 = 995.76/x
  3. Step 3: Cross multiply
    1,664.24x = 2,493.20 × 995.76
  4. Step 4: Simplify right side
    1,664.24x = 2,482,631.32
  5. Step 5: Solve for x
    x = 2,482,631.32/1,664.24
  6. Step 6: Final answer
    x = 1,491.76

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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.