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Finding the Fourth Proportional to 2,335.66, 3,493.05 and 2,077.27

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Solution

The fourth proportional to 2,335.66, 3,493.05 and 2,077.27 is: 3,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.66 : 3,493.05 = 2,077.27 : x
  2. Step 2: Convert to fraction form
    2,335.66/3,493.05 = 2,077.27/x
  3. Step 3: Cross multiply
    2,335.66x = 3,493.05 × 2,077.27
  4. Step 4: Simplify right side
    2,335.66x = 7,256,007.97
  5. Step 5: Solve for x
    x = 7,256,007.97/2,335.66
  6. Step 6: Final answer
    x = 3,106.62

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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.