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Finding the Fourth Proportional to 2,129.37, 2,937.84 and 1,289.80

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Solution

The fourth proportional to 2,129.37, 2,937.84 and 1,289.80 is: 1,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.37 : 2,937.84 = 1,289.80 : x
  2. Step 2: Convert to fraction form
    2,129.37/2,937.84 = 1,289.80/x
  3. Step 3: Cross multiply
    2,129.37x = 2,937.84 × 1,289.80
  4. Step 4: Simplify right side
    2,129.37x = 3,789,226.03
  5. Step 5: Solve for x
    x = 3,789,226.03/2,129.37
  6. Step 6: Final answer
    x = 1,779.51

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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.