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Finding the Fourth Proportional to 2,871.00, 4,306.49 and 923.49

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Solution

The fourth proportional to 2,871.00, 4,306.49 and 923.49 is: 1,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.00 : 4,306.49 = 923.49 : x
  2. Step 2: Convert to fraction form
    2,871.00/4,306.49 = 923.49/x
  3. Step 3: Cross multiply
    2,871.00x = 4,306.49 × 923.49
  4. Step 4: Simplify right side
    2,871.00x = 3,976,981.23
  5. Step 5: Solve for x
    x = 3,976,981.23/2,871.00
  6. Step 6: Final answer
    x = 1,385.23

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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.