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Finding the Fourth Proportional to 1,876.30, 2,814.45 and 836.80

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Solution

The fourth proportional to 1,876.30, 2,814.45 and 836.80 is: 1,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.30 : 2,814.45 = 836.80 : x
  2. Step 2: Convert to fraction form
    1,876.30/2,814.45 = 836.80/x
  3. Step 3: Cross multiply
    1,876.30x = 2,814.45 × 836.80
  4. Step 4: Simplify right side
    1,876.30x = 2,355,131.76
  5. Step 5: Solve for x
    x = 2,355,131.76/1,876.30
  6. Step 6: Final answer
    x = 1,255.20

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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.