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Finding the Fourth Proportional to 2,293.14, 3,452.16 and 2,055

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Solution

The fourth proportional to 2,293.14, 3,452.16 and 2,055 is: 3,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.14 : 3,452.16 = 2,055 : x
  2. Step 2: Convert to fraction form
    2,293.14/3,452.16 = 2,055/x
  3. Step 3: Cross multiply
    2,293.14x = 3,452.16 × 2,055
  4. Step 4: Simplify right side
    2,293.14x = 7,094,188.80
  5. Step 5: Solve for x
    x = 7,094,188.80/2,293.14
  6. Step 6: Final answer
    x = 3,093.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.