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Finding the Fourth Proportional to 2,351.37, 3,527.14 and 890.63

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Solution

The fourth proportional to 2,351.37, 3,527.14 and 890.63 is: 1,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.37 : 3,527.14 = 890.63 : x
  2. Step 2: Convert to fraction form
    2,351.37/3,527.14 = 890.63/x
  3. Step 3: Cross multiply
    2,351.37x = 3,527.14 × 890.63
  4. Step 4: Simplify right side
    2,351.37x = 3,141,376.70
  5. Step 5: Solve for x
    x = 3,141,376.70/2,351.37
  6. Step 6: Final answer
    x = 1,335.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.