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Finding the Fourth Proportional to 2,129.57, 2,939.01 and 1,290.48

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Solution

The fourth proportional to 2,129.57, 2,939.01 and 1,290.48 is: 1,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.57 : 2,939.01 = 1,290.48 : x
  2. Step 2: Convert to fraction form
    2,129.57/2,939.01 = 1,290.48/x
  3. Step 3: Cross multiply
    2,129.57x = 2,939.01 × 1,290.48
  4. Step 4: Simplify right side
    2,129.57x = 3,792,733.62
  5. Step 5: Solve for x
    x = 3,792,733.62/2,129.57
  6. Step 6: Final answer
    x = 1,780.99

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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.