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Finding the Fourth Proportional to 2,153.12, 3,229 and 836.78

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Solution

The fourth proportional to 2,153.12, 3,229 and 836.78 is: 1,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.12 : 3,229 = 836.78 : x
  2. Step 2: Convert to fraction form
    2,153.12/3,229 = 836.78/x
  3. Step 3: Cross multiply
    2,153.12x = 3,229 × 836.78
  4. Step 4: Simplify right side
    2,153.12x = 2,701,962.62
  5. Step 5: Solve for x
    x = 2,701,962.62/2,153.12
  6. Step 6: Final answer
    x = 1,254.91

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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.