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Finding the Fourth Proportional to 2,130.39, 3,193.69 and 832.77

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Solution

The fourth proportional to 2,130.39, 3,193.69 and 832.77 is: 1,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.39 : 3,193.69 = 832.77 : x
  2. Step 2: Convert to fraction form
    2,130.39/3,193.69 = 832.77/x
  3. Step 3: Cross multiply
    2,130.39x = 3,193.69 × 832.77
  4. Step 4: Simplify right side
    2,130.39x = 2,659,609.22
  5. Step 5: Solve for x
    x = 2,659,609.22/2,130.39
  6. Step 6: Final answer
    x = 1,248.41

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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.