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Finding the Fourth Proportional to 1,892.02, 2,611 and 1,052.82

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Solution

The fourth proportional to 1,892.02, 2,611 and 1,052.82 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.02 : 2,611 = 1,052.82 : x
  2. Step 2: Convert to fraction form
    1,892.02/2,611 = 1,052.82/x
  3. Step 3: Cross multiply
    1,892.02x = 2,611 × 1,052.82
  4. Step 4: Simplify right side
    1,892.02x = 2,748,913.02
  5. Step 5: Solve for x
    x = 2,748,913.02/1,892.02
  6. Step 6: Final answer
    x = 1,452.90

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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.