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Finding the Fourth Proportional to 2,821.64, 3,893.56 and 1,562.56

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Solution

The fourth proportional to 2,821.64, 3,893.56 and 1,562.56 is: 2,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.64 : 3,893.56 = 1,562.56 : x
  2. Step 2: Convert to fraction form
    2,821.64/3,893.56 = 1,562.56/x
  3. Step 3: Cross multiply
    2,821.64x = 3,893.56 × 1,562.56
  4. Step 4: Simplify right side
    2,821.64x = 6,083,921.11
  5. Step 5: Solve for x
    x = 6,083,921.11/2,821.64
  6. Step 6: Final answer
    x = 2,156.16

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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.