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Finding the Fourth Proportional to 3,107.79, 4,658.16 and 1,548.90

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Solution

The fourth proportional to 3,107.79, 4,658.16 and 1,548.90 is: 2,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.79 : 4,658.16 = 1,548.90 : x
  2. Step 2: Convert to fraction form
    3,107.79/4,658.16 = 1,548.90/x
  3. Step 3: Cross multiply
    3,107.79x = 4,658.16 × 1,548.90
  4. Step 4: Simplify right side
    3,107.79x = 7,215,024.02
  5. Step 5: Solve for x
    x = 7,215,024.02/3,107.79
  6. Step 6: Final answer
    x = 2,321.59

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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.