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Finding the Fourth Proportional to 2,780.34, 4,170.51 and 832.83

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Solution

The fourth proportional to 2,780.34, 4,170.51 and 832.83 is: 1,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.34 : 4,170.51 = 832.83 : x
  2. Step 2: Convert to fraction form
    2,780.34/4,170.51 = 832.83/x
  3. Step 3: Cross multiply
    2,780.34x = 4,170.51 × 832.83
  4. Step 4: Simplify right side
    2,780.34x = 3,473,325.84
  5. Step 5: Solve for x
    x = 3,473,325.84/2,780.34
  6. Step 6: Final answer
    x = 1,249.25

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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.