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Finding the Fourth Proportional to 2,953.35, 4,434.39 and 1,972.26

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Solution

The fourth proportional to 2,953.35, 4,434.39 and 1,972.26 is: 2,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.35 : 4,434.39 = 1,972.26 : x
  2. Step 2: Convert to fraction form
    2,953.35/4,434.39 = 1,972.26/x
  3. Step 3: Cross multiply
    2,953.35x = 4,434.39 × 1,972.26
  4. Step 4: Simplify right side
    2,953.35x = 8,745,770.02
  5. Step 5: Solve for x
    x = 8,745,770.02/2,953.35
  6. Step 6: Final answer
    x = 2,961.30

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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.