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Finding the Fourth Proportional to 2,209.47, 3,307.82 and 1,903.29

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Solution

The fourth proportional to 2,209.47, 3,307.82 and 1,903.29 is: 2,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.47 : 3,307.82 = 1,903.29 : x
  2. Step 2: Convert to fraction form
    2,209.47/3,307.82 = 1,903.29/x
  3. Step 3: Cross multiply
    2,209.47x = 3,307.82 × 1,903.29
  4. Step 4: Simplify right side
    2,209.47x = 6,295,731.21
  5. Step 5: Solve for x
    x = 6,295,731.21/2,209.47
  6. Step 6: Final answer
    x = 2,849.43

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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.