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Finding the Fourth Proportional to 3,162.04, 4,361.78 and 1,835.26

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Solution

The fourth proportional to 3,162.04, 4,361.78 and 1,835.26 is: 2,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.04 : 4,361.78 = 1,835.26 : x
  2. Step 2: Convert to fraction form
    3,162.04/4,361.78 = 1,835.26/x
  3. Step 3: Cross multiply
    3,162.04x = 4,361.78 × 1,835.26
  4. Step 4: Simplify right side
    3,162.04x = 8,005,000.36
  5. Step 5: Solve for x
    x = 8,005,000.36/3,162.04
  6. Step 6: Final answer
    x = 2,531.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.