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Finding the Fourth Proportional to 1,851.28, 2,774.07 and 1,156.09

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Solution

The fourth proportional to 1,851.28, 2,774.07 and 1,156.09 is: 1,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.28 : 2,774.07 = 1,156.09 : x
  2. Step 2: Convert to fraction form
    1,851.28/2,774.07 = 1,156.09/x
  3. Step 3: Cross multiply
    1,851.28x = 2,774.07 × 1,156.09
  4. Step 4: Simplify right side
    1,851.28x = 3,207,074.59
  5. Step 5: Solve for x
    x = 3,207,074.59/1,851.28
  6. Step 6: Final answer
    x = 1,732.36

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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.