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Finding the Fourth Proportional to 2,308.23, 3,462.32 and 576.86

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Solution

The fourth proportional to 2,308.23, 3,462.32 and 576.86 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.23 : 3,462.32 = 576.86 : x
  2. Step 2: Convert to fraction form
    2,308.23/3,462.32 = 576.86/x
  3. Step 3: Cross multiply
    2,308.23x = 3,462.32 × 576.86
  4. Step 4: Simplify right side
    2,308.23x = 1,997,258.05
  5. Step 5: Solve for x
    x = 1,997,258.05/2,308.23
  6. Step 6: Final answer
    x = 865.28

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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.