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Finding the Fourth Proportional to 2,993.80, 4,130.96 and 1,734.97

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Solution

The fourth proportional to 2,993.80, 4,130.96 and 1,734.97 is: 2,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.80 : 4,130.96 = 1,734.97 : x
  2. Step 2: Convert to fraction form
    2,993.80/4,130.96 = 1,734.97/x
  3. Step 3: Cross multiply
    2,993.80x = 4,130.96 × 1,734.97
  4. Step 4: Simplify right side
    2,993.80x = 7,167,091.67
  5. Step 5: Solve for x
    x = 7,167,091.67/2,993.80
  6. Step 6: Final answer
    x = 2,393.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.