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Finding the Fourth Proportional to 2,580.94, 3,870.91 and 731.61

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Solution

The fourth proportional to 2,580.94, 3,870.91 and 731.61 is: 1,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.94 : 3,870.91 = 731.61 : x
  2. Step 2: Convert to fraction form
    2,580.94/3,870.91 = 731.61/x
  3. Step 3: Cross multiply
    2,580.94x = 3,870.91 × 731.61
  4. Step 4: Simplify right side
    2,580.94x = 2,831,996.47
  5. Step 5: Solve for x
    x = 2,831,996.47/2,580.94
  6. Step 6: Final answer
    x = 1,097.27

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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.