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Finding the Fourth Proportional to 1,424.43, 1,966.20 and 835.14

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Solution

The fourth proportional to 1,424.43, 1,966.20 and 835.14 is: 1,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.43 : 1,966.20 = 835.14 : x
  2. Step 2: Convert to fraction form
    1,424.43/1,966.20 = 835.14/x
  3. Step 3: Cross multiply
    1,424.43x = 1,966.20 × 835.14
  4. Step 4: Simplify right side
    1,424.43x = 1,642,052.27
  5. Step 5: Solve for x
    x = 1,642,052.27/1,424.43
  6. Step 6: Final answer
    x = 1,152.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.