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Finding the Fourth Proportional to 1,475.70, 2,214.22 and 826.44

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Solution

The fourth proportional to 1,475.70, 2,214.22 and 826.44 is: 1,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.70 : 2,214.22 = 826.44 : x
  2. Step 2: Convert to fraction form
    1,475.70/2,214.22 = 826.44/x
  3. Step 3: Cross multiply
    1,475.70x = 2,214.22 × 826.44
  4. Step 4: Simplify right side
    1,475.70x = 1,829,919.98
  5. Step 5: Solve for x
    x = 1,829,919.98/1,475.70
  6. Step 6: Final answer
    x = 1,240.04

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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.