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Finding the Fourth Proportional to 1,857.58, 2,786.46 and 624.88

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Solution

The fourth proportional to 1,857.58, 2,786.46 and 624.88 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.58 : 2,786.46 = 624.88 : x
  2. Step 2: Convert to fraction form
    1,857.58/2,786.46 = 624.88/x
  3. Step 3: Cross multiply
    1,857.58x = 2,786.46 × 624.88
  4. Step 4: Simplify right side
    1,857.58x = 1,741,203.12
  5. Step 5: Solve for x
    x = 1,741,203.12/1,857.58
  6. Step 6: Final answer
    x = 937.35

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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.