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Finding the Fourth Proportional to 1,671.39, 2,502.82 and 1,396.80

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Solution

The fourth proportional to 1,671.39, 2,502.82 and 1,396.80 is: 2,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.39 : 2,502.82 = 1,396.80 : x
  2. Step 2: Convert to fraction form
    1,671.39/2,502.82 = 1,396.80/x
  3. Step 3: Cross multiply
    1,671.39x = 2,502.82 × 1,396.80
  4. Step 4: Simplify right side
    1,671.39x = 3,495,938.98
  5. Step 5: Solve for x
    x = 3,495,938.98/1,671.39
  6. Step 6: Final answer
    x = 2,091.64

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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.