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Finding the Fourth Proportional to 2,821.61, 3,893.64 and 1,562.58

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Solution

The fourth proportional to 2,821.61, 3,893.64 and 1,562.58 is: 2,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.61 : 3,893.64 = 1,562.58 : x
  2. Step 2: Convert to fraction form
    2,821.61/3,893.64 = 1,562.58/x
  3. Step 3: Cross multiply
    2,821.61x = 3,893.64 × 1,562.58
  4. Step 4: Simplify right side
    2,821.61x = 6,084,123.99
  5. Step 5: Solve for x
    x = 6,084,123.99/2,821.61
  6. Step 6: Final answer
    x = 2,156.26

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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.