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Finding the Fourth Proportional to 1,626.71, 2,438.44 and 933.14

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Solution

The fourth proportional to 1,626.71, 2,438.44 and 933.14 is: 1,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.71 : 2,438.44 = 933.14 : x
  2. Step 2: Convert to fraction form
    1,626.71/2,438.44 = 933.14/x
  3. Step 3: Cross multiply
    1,626.71x = 2,438.44 × 933.14
  4. Step 4: Simplify right side
    1,626.71x = 2,275,409.66
  5. Step 5: Solve for x
    x = 2,275,409.66/1,626.71
  6. Step 6: Final answer
    x = 1,398.78

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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.