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Finding the Fourth Proportional to 1,619.21, 2,429.16 and 926.21

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Solution

The fourth proportional to 1,619.21, 2,429.16 and 926.21 is: 1,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.21 : 2,429.16 = 926.21 : x
  2. Step 2: Convert to fraction form
    1,619.21/2,429.16 = 926.21/x
  3. Step 3: Cross multiply
    1,619.21x = 2,429.16 × 926.21
  4. Step 4: Simplify right side
    1,619.21x = 2,249,912.28
  5. Step 5: Solve for x
    x = 2,249,912.28/1,619.21
  6. Step 6: Final answer
    x = 1,389.51

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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.