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Finding the Fourth Proportional to 1,952.34, 2,924.37 and 1,817.49

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Solution

The fourth proportional to 1,952.34, 2,924.37 and 1,817.49 is: 2,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.34 : 2,924.37 = 1,817.49 : x
  2. Step 2: Convert to fraction form
    1,952.34/2,924.37 = 1,817.49/x
  3. Step 3: Cross multiply
    1,952.34x = 2,924.37 × 1,817.49
  4. Step 4: Simplify right side
    1,952.34x = 5,315,013.23
  5. Step 5: Solve for x
    x = 5,315,013.23/1,952.34
  6. Step 6: Final answer
    x = 2,722.38

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