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Finding the Fourth Proportional to 3,376.75, 4,658.46 and 2,197.93

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Solution

The fourth proportional to 3,376.75, 4,658.46 and 2,197.93 is: 3,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.75 : 4,658.46 = 2,197.93 : x
  2. Step 2: Convert to fraction form
    3,376.75/4,658.46 = 2,197.93/x
  3. Step 3: Cross multiply
    3,376.75x = 4,658.46 × 2,197.93
  4. Step 4: Simplify right side
    3,376.75x = 10,238,968.99
  5. Step 5: Solve for x
    x = 10,238,968.99/3,376.75
  6. Step 6: Final answer
    x = 3,032.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.