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Finding the Fourth Proportional to 2,970.42, 4,455.87 and 995.97

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Solution

The fourth proportional to 2,970.42, 4,455.87 and 995.97 is: 1,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.42 : 4,455.87 = 995.97 : x
  2. Step 2: Convert to fraction form
    2,970.42/4,455.87 = 995.97/x
  3. Step 3: Cross multiply
    2,970.42x = 4,455.87 × 995.97
  4. Step 4: Simplify right side
    2,970.42x = 4,437,912.84
  5. Step 5: Solve for x
    x = 4,437,912.84/2,970.42
  6. Step 6: Final answer
    x = 1,494.04

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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.