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Finding the Fourth Proportional to 2,361.88, 3,541.62 and 899.92

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Solution

The fourth proportional to 2,361.88, 3,541.62 and 899.92 is: 1,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.88 : 3,541.62 = 899.92 : x
  2. Step 2: Convert to fraction form
    2,361.88/3,541.62 = 899.92/x
  3. Step 3: Cross multiply
    2,361.88x = 3,541.62 × 899.92
  4. Step 4: Simplify right side
    2,361.88x = 3,187,174.67
  5. Step 5: Solve for x
    x = 3,187,174.67/2,361.88
  6. Step 6: Final answer
    x = 1,349.42

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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.