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Finding the Fourth Proportional to 1,513.49, 2,268.07 and 864.41

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Solution

The fourth proportional to 1,513.49, 2,268.07 and 864.41 is: 1,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.49 : 2,268.07 = 864.41 : x
  2. Step 2: Convert to fraction form
    1,513.49/2,268.07 = 864.41/x
  3. Step 3: Cross multiply
    1,513.49x = 2,268.07 × 864.41
  4. Step 4: Simplify right side
    1,513.49x = 1,960,528.89
  5. Step 5: Solve for x
    x = 1,960,528.89/1,513.49
  6. Step 6: Final answer
    x = 1,295.37

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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.