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Finding the Fourth Proportional to 2,351.47, 3,527.24 and 890.23

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Solution

The fourth proportional to 2,351.47, 3,527.24 and 890.23 is: 1,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.47 : 3,527.24 = 890.23 : x
  2. Step 2: Convert to fraction form
    2,351.47/3,527.24 = 890.23/x
  3. Step 3: Cross multiply
    2,351.47x = 3,527.24 × 890.23
  4. Step 4: Simplify right side
    2,351.47x = 3,140,054.87
  5. Step 5: Solve for x
    x = 3,140,054.87/2,351.47
  6. Step 6: Final answer
    x = 1,335.36

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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.