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Finding the Fourth Proportional to 2,740.92, 4,111.47 and 793.14

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Solution

The fourth proportional to 2,740.92, 4,111.47 and 793.14 is: 1,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.92 : 4,111.47 = 793.14 : x
  2. Step 2: Convert to fraction form
    2,740.92/4,111.47 = 793.14/x
  3. Step 3: Cross multiply
    2,740.92x = 4,111.47 × 793.14
  4. Step 4: Simplify right side
    2,740.92x = 3,260,971.32
  5. Step 5: Solve for x
    x = 3,260,971.32/2,740.92
  6. Step 6: Final answer
    x = 1,189.74

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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.