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Finding the Fourth Proportional to 2,044.23, 2,822.41 and 1,289.15

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Solution

The fourth proportional to 2,044.23, 2,822.41 and 1,289.15 is: 1,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.23 : 2,822.41 = 1,289.15 : x
  2. Step 2: Convert to fraction form
    2,044.23/2,822.41 = 1,289.15/x
  3. Step 3: Cross multiply
    2,044.23x = 2,822.41 × 1,289.15
  4. Step 4: Simplify right side
    2,044.23x = 3,638,509.85
  5. Step 5: Solve for x
    x = 3,638,509.85/2,044.23
  6. Step 6: Final answer
    x = 1,779.89

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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.