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Finding the Fourth Proportional to 1,421.24, 2,131.05 and 762.31

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Solution

The fourth proportional to 1,421.24, 2,131.05 and 762.31 is: 1,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.24 : 2,131.05 = 762.31 : x
  2. Step 2: Convert to fraction form
    1,421.24/2,131.05 = 762.31/x
  3. Step 3: Cross multiply
    1,421.24x = 2,131.05 × 762.31
  4. Step 4: Simplify right side
    1,421.24x = 1,624,510.07
  5. Step 5: Solve for x
    x = 1,624,510.07/1,421.24
  6. Step 6: Final answer
    x = 1,143.02

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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.