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Finding the Fourth Proportional to 2,128.44, 2,937.44 and 1,289.56

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Solution

The fourth proportional to 2,128.44, 2,937.44 and 1,289.56 is: 1,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.44 : 2,937.44 = 1,289.56 : x
  2. Step 2: Convert to fraction form
    2,128.44/2,937.44 = 1,289.56/x
  3. Step 3: Cross multiply
    2,128.44x = 2,937.44 × 1,289.56
  4. Step 4: Simplify right side
    2,128.44x = 3,788,005.13
  5. Step 5: Solve for x
    x = 3,788,005.13/2,128.44
  6. Step 6: Final answer
    x = 1,779.71

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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.