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Finding the Fourth Proportional to 1,628.96, 2,441.81 and 935.40

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Solution

The fourth proportional to 1,628.96, 2,441.81 and 935.40 is: 1,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.96 : 2,441.81 = 935.40 : x
  2. Step 2: Convert to fraction form
    1,628.96/2,441.81 = 935.40/x
  3. Step 3: Cross multiply
    1,628.96x = 2,441.81 × 935.40
  4. Step 4: Simplify right side
    1,628.96x = 2,284,064.40
  5. Step 5: Solve for x
    x = 2,284,064.40/1,628.96
  6. Step 6: Final answer
    x = 1,402.17

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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.