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Finding the Fourth Proportional to 2,784.62, 4,177.14 and 836.82

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Solution

The fourth proportional to 2,784.62, 4,177.14 and 836.82 is: 1,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.62 : 4,177.14 = 836.82 : x
  2. Step 2: Convert to fraction form
    2,784.62/4,177.14 = 836.82/x
  3. Step 3: Cross multiply
    2,784.62x = 4,177.14 × 836.82
  4. Step 4: Simplify right side
    2,784.62x = 3,495,514.29
  5. Step 5: Solve for x
    x = 3,495,514.29/2,784.62
  6. Step 6: Final answer
    x = 1,255.30

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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.