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Finding the Fourth Proportional to 2,128.77, 2,937.23 and 1,289.47

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Solution

The fourth proportional to 2,128.77, 2,937.23 and 1,289.47 is: 1,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.77 : 2,937.23 = 1,289.47 : x
  2. Step 2: Convert to fraction form
    2,128.77/2,937.23 = 1,289.47/x
  3. Step 3: Cross multiply
    2,128.77x = 2,937.23 × 1,289.47
  4. Step 4: Simplify right side
    2,128.77x = 3,787,469.97
  5. Step 5: Solve for x
    x = 3,787,469.97/2,128.77
  6. Step 6: Final answer
    x = 1,779.18

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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.