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Finding the Fourth Proportional to 2,820.56, 3,892.68 and 1,578.56

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Solution

The fourth proportional to 2,820.56, 3,892.68 and 1,578.56 is: 2,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.56 : 3,892.68 = 1,578.56 : x
  2. Step 2: Convert to fraction form
    2,820.56/3,892.68 = 1,578.56/x
  3. Step 3: Cross multiply
    2,820.56x = 3,892.68 × 1,578.56
  4. Step 4: Simplify right side
    2,820.56x = 6,144,828.94
  5. Step 5: Solve for x
    x = 6,144,828.94/2,820.56
  6. Step 6: Final answer
    x = 2,178.58

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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.