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Finding the Fourth Proportional to 2,821.50, 3,893.55 and 1,562.55

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Solution

The fourth proportional to 2,821.50, 3,893.55 and 1,562.55 is: 2,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.50 : 3,893.55 = 1,562.55 : x
  2. Step 2: Convert to fraction form
    2,821.50/3,893.55 = 1,562.55/x
  3. Step 3: Cross multiply
    2,821.50x = 3,893.55 × 1,562.55
  4. Step 4: Simplify right side
    2,821.50x = 6,083,866.55
  5. Step 5: Solve for x
    x = 6,083,866.55/2,821.50
  6. Step 6: Final answer
    x = 2,156.25

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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.