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Finding the Fourth Proportional to 3,107.01, 4,658.92 and 1,257.63

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Solution

The fourth proportional to 3,107.01, 4,658.92 and 1,257.63 is: 1,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.01 : 4,658.92 = 1,257.63 : x
  2. Step 2: Convert to fraction form
    3,107.01/4,658.92 = 1,257.63/x
  3. Step 3: Cross multiply
    3,107.01x = 4,658.92 × 1,257.63
  4. Step 4: Simplify right side
    3,107.01x = 5,859,176.94
  5. Step 5: Solve for x
    x = 5,859,176.94/3,107.01
  6. Step 6: Final answer
    x = 1,885.79

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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.