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Finding the Fourth Proportional to 3,104.48, 4,658.72 and 2,064.96

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Solution

The fourth proportional to 3,104.48, 4,658.72 and 2,064.96 is: 3,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.48 : 4,658.72 = 2,064.96 : x
  2. Step 2: Convert to fraction form
    3,104.48/4,658.72 = 2,064.96/x
  3. Step 3: Cross multiply
    3,104.48x = 4,658.72 × 2,064.96
  4. Step 4: Simplify right side
    3,104.48x = 9,620,070.45
  5. Step 5: Solve for x
    x = 9,620,070.45/3,104.48
  6. Step 6: Final answer
    x = 3,098.77

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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.