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Finding the Fourth Proportional to 2,509.63, 3,463.50 and 1,447.59

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Solution

The fourth proportional to 2,509.63, 3,463.50 and 1,447.59 is: 1,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.63 : 3,463.50 = 1,447.59 : x
  2. Step 2: Convert to fraction form
    2,509.63/3,463.50 = 1,447.59/x
  3. Step 3: Cross multiply
    2,509.63x = 3,463.50 × 1,447.59
  4. Step 4: Simplify right side
    2,509.63x = 5,013,710.65
  5. Step 5: Solve for x
    x = 5,013,710.65/2,509.63
  6. Step 6: Final answer
    x = 1,997.79

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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.