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Finding the Fourth Proportional to 2,351.67, 3,527.29 and 890.83

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Solution

The fourth proportional to 2,351.67, 3,527.29 and 890.83 is: 1,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.67 : 3,527.29 = 890.83 : x
  2. Step 2: Convert to fraction form
    2,351.67/3,527.29 = 890.83/x
  3. Step 3: Cross multiply
    2,351.67x = 3,527.29 × 890.83
  4. Step 4: Simplify right side
    2,351.67x = 3,142,215.75
  5. Step 5: Solve for x
    x = 3,142,215.75/2,351.67
  6. Step 6: Final answer
    x = 1,336.16

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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.