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Finding the Fourth Proportional to 2,072.81, 3,108.40 and 917.75

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Solution

The fourth proportional to 2,072.81, 3,108.40 and 917.75 is: 1,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.81 : 3,108.40 = 917.75 : x
  2. Step 2: Convert to fraction form
    2,072.81/3,108.40 = 917.75/x
  3. Step 3: Cross multiply
    2,072.81x = 3,108.40 × 917.75
  4. Step 4: Simplify right side
    2,072.81x = 2,852,734.10
  5. Step 5: Solve for x
    x = 2,852,734.10/2,072.81
  6. Step 6: Final answer
    x = 1,376.26

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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.