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Finding the Fourth Proportional to 3,043.89, 4,564.89 and 1,582.23

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Solution

The fourth proportional to 3,043.89, 4,564.89 and 1,582.23 is: 2,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.89 : 4,564.89 = 1,582.23 : x
  2. Step 2: Convert to fraction form
    3,043.89/4,564.89 = 1,582.23/x
  3. Step 3: Cross multiply
    3,043.89x = 4,564.89 × 1,582.23
  4. Step 4: Simplify right side
    3,043.89x = 7,222,705.90
  5. Step 5: Solve for x
    x = 7,222,705.90/3,043.89
  6. Step 6: Final answer
    x = 2,372.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.