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Finding the Fourth Proportional to 2,563.58, 3,844.95 and 919.82

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Solution

The fourth proportional to 2,563.58, 3,844.95 and 919.82 is: 1,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.58 : 3,844.95 = 919.82 : x
  2. Step 2: Convert to fraction form
    2,563.58/3,844.95 = 919.82/x
  3. Step 3: Cross multiply
    2,563.58x = 3,844.95 × 919.82
  4. Step 4: Simplify right side
    2,563.58x = 3,536,661.91
  5. Step 5: Solve for x
    x = 3,536,661.91/2,563.58
  6. Step 6: Final answer
    x = 1,379.58

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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.