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Finding the Fourth Proportional to 3,207.42, 4,807.53 and 2,098.96

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Solution

The fourth proportional to 3,207.42, 4,807.53 and 2,098.96 is: 3,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.42 : 4,807.53 = 2,098.96 : x
  2. Step 2: Convert to fraction form
    3,207.42/4,807.53 = 2,098.96/x
  3. Step 3: Cross multiply
    3,207.42x = 4,807.53 × 2,098.96
  4. Step 4: Simplify right side
    3,207.42x = 10,090,813.17
  5. Step 5: Solve for x
    x = 10,090,813.17/3,207.42
  6. Step 6: Final answer
    x = 3,146.08

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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.