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Finding the Fourth Proportional to 2,361.61, 3,543.90 and 900.91

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Solution

The fourth proportional to 2,361.61, 3,543.90 and 900.91 is: 1,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.61 : 3,543.90 = 900.91 : x
  2. Step 2: Convert to fraction form
    2,361.61/3,543.90 = 900.91/x
  3. Step 3: Cross multiply
    2,361.61x = 3,543.90 × 900.91
  4. Step 4: Simplify right side
    2,361.61x = 3,192,734.95
  5. Step 5: Solve for x
    x = 3,192,734.95/2,361.61
  6. Step 6: Final answer
    x = 1,351.93

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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.