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Finding the Fourth Proportional to 1,513.76, 2,266.41 and 817.94

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Solution

The fourth proportional to 1,513.76, 2,266.41 and 817.94 is: 1,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.76 : 2,266.41 = 817.94 : x
  2. Step 2: Convert to fraction form
    1,513.76/2,266.41 = 817.94/x
  3. Step 3: Cross multiply
    1,513.76x = 2,266.41 × 817.94
  4. Step 4: Simplify right side
    1,513.76x = 1,853,783.38
  5. Step 5: Solve for x
    x = 1,853,783.38/1,513.76
  6. Step 6: Final answer
    x = 1,224.62

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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.