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Finding the Fourth Proportional to 2,993.59, 4,494.96 and 1,609.63

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Solution

The fourth proportional to 2,993.59, 4,494.96 and 1,609.63 is: 2,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.59 : 4,494.96 = 1,609.63 : x
  2. Step 2: Convert to fraction form
    2,993.59/4,494.96 = 1,609.63/x
  3. Step 3: Cross multiply
    2,993.59x = 4,494.96 × 1,609.63
  4. Step 4: Simplify right side
    2,993.59x = 7,235,211.23
  5. Step 5: Solve for x
    x = 7,235,211.23/2,993.59
  6. Step 6: Final answer
    x = 2,416.90

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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.