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Finding the Fourth Proportional to 3,207.35, 4,807.42 and 2,098.89

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Solution

The fourth proportional to 3,207.35, 4,807.42 and 2,098.89 is: 3,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.35 : 4,807.42 = 2,098.89 : x
  2. Step 2: Convert to fraction form
    3,207.35/4,807.42 = 2,098.89/x
  3. Step 3: Cross multiply
    3,207.35x = 4,807.42 × 2,098.89
  4. Step 4: Simplify right side
    3,207.35x = 10,090,245.76
  5. Step 5: Solve for x
    x = 10,090,245.76/3,207.35
  6. Step 6: Final answer
    x = 3,145.98

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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.