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Finding the Fourth Proportional to 1,928.65, 2,892.97 and 630.12

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Solution

The fourth proportional to 1,928.65, 2,892.97 and 630.12 is: 945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.65 : 2,892.97 = 630.12 : x
  2. Step 2: Convert to fraction form
    1,928.65/2,892.97 = 630.12/x
  3. Step 3: Cross multiply
    1,928.65x = 2,892.97 × 630.12
  4. Step 4: Simplify right side
    1,928.65x = 1,822,900.64
  5. Step 5: Solve for x
    x = 1,822,900.64/1,928.65
  6. Step 6: Final answer
    x = 945.17

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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.