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Finding the Fourth Proportional to 2,604.47, 3,901.47 and 1,215.89

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Solution

The fourth proportional to 2,604.47, 3,901.47 and 1,215.89 is: 1,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.47 : 3,901.47 = 1,215.89 : x
  2. Step 2: Convert to fraction form
    2,604.47/3,901.47 = 1,215.89/x
  3. Step 3: Cross multiply
    2,604.47x = 3,901.47 × 1,215.89
  4. Step 4: Simplify right side
    2,604.47x = 4,743,758.36
  5. Step 5: Solve for x
    x = 4,743,758.36/2,604.47
  6. Step 6: Final answer
    x = 1,821.39

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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.