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Finding the Fourth Proportional to 2,821.57, 3,893.80 and 1,562.74

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Solution

The fourth proportional to 2,821.57, 3,893.80 and 1,562.74 is: 2,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.57 : 3,893.80 = 1,562.74 : x
  2. Step 2: Convert to fraction form
    2,821.57/3,893.80 = 1,562.74/x
  3. Step 3: Cross multiply
    2,821.57x = 3,893.80 × 1,562.74
  4. Step 4: Simplify right side
    2,821.57x = 6,085,008.20
  5. Step 5: Solve for x
    x = 6,085,008.20/2,821.57
  6. Step 6: Final answer
    x = 2,156.61

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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.