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Finding the Fourth Proportional to 4,302.90, 6,455.57 and 1,671.21

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Solution

The fourth proportional to 4,302.90, 6,455.57 and 1,671.21 is: 2,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.90 : 6,455.57 = 1,671.21 : x
  2. Step 2: Convert to fraction form
    4,302.90/6,455.57 = 1,671.21/x
  3. Step 3: Cross multiply
    4,302.90x = 6,455.57 × 1,671.21
  4. Step 4: Simplify right side
    4,302.90x = 10,788,604.78
  5. Step 5: Solve for x
    x = 10,788,604.78/4,302.90
  6. Step 6: Final answer
    x = 2,507.29

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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.