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Finding the Fourth Proportional to 2,072.88, 3,109.46 and 612.45

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Solution

The fourth proportional to 2,072.88, 3,109.46 and 612.45 is: 918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 3,109.46 = 612.45 : x
  2. Step 2: Convert to fraction form
    2,072.88/3,109.46 = 612.45/x
  3. Step 3: Cross multiply
    2,072.88x = 3,109.46 × 612.45
  4. Step 4: Simplify right side
    2,072.88x = 1,904,385.71
  5. Step 5: Solve for x
    x = 1,904,385.71/2,072.88
  6. Step 6: Final answer
    x = 918.71

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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.