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Finding the Fourth Proportional to 1,513.27, 2,087.94 and 923.59

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Solution

The fourth proportional to 1,513.27, 2,087.94 and 923.59 is: 1,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.27 : 2,087.94 = 923.59 : x
  2. Step 2: Convert to fraction form
    1,513.27/2,087.94 = 923.59/x
  3. Step 3: Cross multiply
    1,513.27x = 2,087.94 × 923.59
  4. Step 4: Simplify right side
    1,513.27x = 1,928,400.50
  5. Step 5: Solve for x
    x = 1,928,400.50/1,513.27
  6. Step 6: Final answer
    x = 1,274.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.