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Finding the Fourth Proportional to 1,993.17, 2,989.75 and 950.01

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Solution

The fourth proportional to 1,993.17, 2,989.75 and 950.01 is: 1,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.17 : 2,989.75 = 950.01 : x
  2. Step 2: Convert to fraction form
    1,993.17/2,989.75 = 950.01/x
  3. Step 3: Cross multiply
    1,993.17x = 2,989.75 × 950.01
  4. Step 4: Simplify right side
    1,993.17x = 2,840,292.40
  5. Step 5: Solve for x
    x = 2,840,292.40/1,993.17
  6. Step 6: Final answer
    x = 1,425.01

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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.