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Finding the Fourth Proportional to 1,428.35, 2,141.48 and 964.97

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Solution

The fourth proportional to 1,428.35, 2,141.48 and 964.97 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.35 : 2,141.48 = 964.97 : x
  2. Step 2: Convert to fraction form
    1,428.35/2,141.48 = 964.97/x
  3. Step 3: Cross multiply
    1,428.35x = 2,141.48 × 964.97
  4. Step 4: Simplify right side
    1,428.35x = 2,066,455.66
  5. Step 5: Solve for x
    x = 2,066,455.66/1,428.35
  6. Step 6: Final answer
    x = 1,446.75

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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.