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Finding the Fourth Proportional to 2,965.31, 4,447.46 and 990.76

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Solution

The fourth proportional to 2,965.31, 4,447.46 and 990.76 is: 1,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.31 : 4,447.46 = 990.76 : x
  2. Step 2: Convert to fraction form
    2,965.31/4,447.46 = 990.76/x
  3. Step 3: Cross multiply
    2,965.31x = 4,447.46 × 990.76
  4. Step 4: Simplify right side
    2,965.31x = 4,406,347.09
  5. Step 5: Solve for x
    x = 4,406,347.09/2,965.31
  6. Step 6: Final answer
    x = 1,485.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.