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Finding the Fourth Proportional to 2,072.48, 3,108.43 and 839.89

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Solution

The fourth proportional to 2,072.48, 3,108.43 and 839.89 is: 1,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.48 : 3,108.43 = 839.89 : x
  2. Step 2: Convert to fraction form
    2,072.48/3,108.43 = 839.89/x
  3. Step 3: Cross multiply
    2,072.48x = 3,108.43 × 839.89
  4. Step 4: Simplify right side
    2,072.48x = 2,610,746.60
  5. Step 5: Solve for x
    x = 2,610,746.60/2,072.48
  6. Step 6: Final answer
    x = 1,259.72

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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.