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Finding the Fourth Proportional to 2,139.50, 2,954.94 and 1,439.66

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Solution

The fourth proportional to 2,139.50, 2,954.94 and 1,439.66 is: 1,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.50 : 2,954.94 = 1,439.66 : x
  2. Step 2: Convert to fraction form
    2,139.50/2,954.94 = 1,439.66/x
  3. Step 3: Cross multiply
    2,139.50x = 2,954.94 × 1,439.66
  4. Step 4: Simplify right side
    2,139.50x = 4,254,108.92
  5. Step 5: Solve for x
    x = 4,254,108.92/2,139.50
  6. Step 6: Final answer
    x = 1,988.37

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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.