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Finding the Fourth Proportional to 1,422.65, 2,131.34 and 983.39

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Solution

The fourth proportional to 1,422.65, 2,131.34 and 983.39 is: 1,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.65 : 2,131.34 = 983.39 : x
  2. Step 2: Convert to fraction form
    1,422.65/2,131.34 = 983.39/x
  3. Step 3: Cross multiply
    1,422.65x = 2,131.34 × 983.39
  4. Step 4: Simplify right side
    1,422.65x = 2,095,922.87
  5. Step 5: Solve for x
    x = 2,095,922.87/1,422.65
  6. Step 6: Final answer
    x = 1,473.26

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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.