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Finding the Fourth Proportional to 2,562.36, 3,843.96 and 919.26

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Solution

The fourth proportional to 2,562.36, 3,843.96 and 919.26 is: 1,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.36 : 3,843.96 = 919.26 : x
  2. Step 2: Convert to fraction form
    2,562.36/3,843.96 = 919.26/x
  3. Step 3: Cross multiply
    2,562.36x = 3,843.96 × 919.26
  4. Step 4: Simplify right side
    2,562.36x = 3,533,598.67
  5. Step 5: Solve for x
    x = 3,533,598.67/2,562.36
  6. Step 6: Final answer
    x = 1,379.04

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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.