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Finding the Fourth Proportional to 2,836.02, 4,254.64 and 861.80

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Solution

The fourth proportional to 2,836.02, 4,254.64 and 861.80 is: 1,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.02 : 4,254.64 = 861.80 : x
  2. Step 2: Convert to fraction form
    2,836.02/4,254.64 = 861.80/x
  3. Step 3: Cross multiply
    2,836.02x = 4,254.64 × 861.80
  4. Step 4: Simplify right side
    2,836.02x = 3,666,648.75
  5. Step 5: Solve for x
    x = 3,666,648.75/2,836.02
  6. Step 6: Final answer
    x = 1,292.89

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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.