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Finding the Fourth Proportional to 1,949.22, 2,923.40 and 562.25

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Solution

The fourth proportional to 1,949.22, 2,923.40 and 562.25 is: 843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.22 : 2,923.40 = 562.25 : x
  2. Step 2: Convert to fraction form
    1,949.22/2,923.40 = 562.25/x
  3. Step 3: Cross multiply
    1,949.22x = 2,923.40 × 562.25
  4. Step 4: Simplify right side
    1,949.22x = 1,643,681.65
  5. Step 5: Solve for x
    x = 1,643,681.65/1,949.22
  6. Step 6: Final answer
    x = 843.25

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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.