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Finding the Fourth Proportional to 1,949.57, 2,924.27 and 716.90

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Solution

The fourth proportional to 1,949.57, 2,924.27 and 716.90 is: 1,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.57 : 2,924.27 = 716.90 : x
  2. Step 2: Convert to fraction form
    1,949.57/2,924.27 = 716.90/x
  3. Step 3: Cross multiply
    1,949.57x = 2,924.27 × 716.90
  4. Step 4: Simplify right side
    1,949.57x = 2,096,390.96
  5. Step 5: Solve for x
    x = 2,096,390.96/1,949.57
  6. Step 6: Final answer
    x = 1,075.31

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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.