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Finding the Fourth Proportional to 1,892.10, 2,611.64 and 1,263.54

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Solution

The fourth proportional to 1,892.10, 2,611.64 and 1,263.54 is: 1,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.10 : 2,611.64 = 1,263.54 : x
  2. Step 2: Convert to fraction form
    1,892.10/2,611.64 = 1,263.54/x
  3. Step 3: Cross multiply
    1,892.10x = 2,611.64 × 1,263.54
  4. Step 4: Simplify right side
    1,892.10x = 3,299,911.61
  5. Step 5: Solve for x
    x = 3,299,911.61/1,892.10
  6. Step 6: Final answer
    x = 1,744.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.