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Finding the Fourth Proportional to 1,389.83, 2,084.36 and 950.99

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Solution

The fourth proportional to 1,389.83, 2,084.36 and 950.99 is: 1,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.83 : 2,084.36 = 950.99 : x
  2. Step 2: Convert to fraction form
    1,389.83/2,084.36 = 950.99/x
  3. Step 3: Cross multiply
    1,389.83x = 2,084.36 × 950.99
  4. Step 4: Simplify right side
    1,389.83x = 1,982,190.34
  5. Step 5: Solve for x
    x = 1,982,190.34/1,389.83
  6. Step 6: Final answer
    x = 1,426.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.