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Finding the Fourth Proportional to 1,422.74, 2,131.71 and 901.46

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Solution

The fourth proportional to 1,422.74, 2,131.71 and 901.46 is: 1,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.74 : 2,131.71 = 901.46 : x
  2. Step 2: Convert to fraction form
    1,422.74/2,131.71 = 901.46/x
  3. Step 3: Cross multiply
    1,422.74x = 2,131.71 × 901.46
  4. Step 4: Simplify right side
    1,422.74x = 1,921,651.30
  5. Step 5: Solve for x
    x = 1,921,651.30/1,422.74
  6. Step 6: Final answer
    x = 1,350.67

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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.