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Finding the Fourth Proportional to 2,740.94, 4,111.46 and 793.13

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Solution

The fourth proportional to 2,740.94, 4,111.46 and 793.13 is: 1,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.94 : 4,111.46 = 793.13 : x
  2. Step 2: Convert to fraction form
    2,740.94/4,111.46 = 793.13/x
  3. Step 3: Cross multiply
    2,740.94x = 4,111.46 × 793.13
  4. Step 4: Simplify right side
    2,740.94x = 3,260,900.72
  5. Step 5: Solve for x
    x = 3,260,900.72/2,740.94
  6. Step 6: Final answer
    x = 1,189.70

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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.